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Finding the Fourth Proportional to 523,430.40, 785,145.60 and 470,942.40

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Solution

The fourth proportional to 523,430.40, 785,145.60 and 470,942.40 is: 706,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,430.40 : 785,145.60 = 470,942.40 : x
  2. Step 2: Convert to fraction form
    523,430.40/785,145.60 = 470,942.40/x
  3. Step 3: Cross multiply
    523,430.40x = 785,145.60 × 470,942.40
  4. Step 4: Simplify right side
    523,430.40x = 369,758,353,213.44
  5. Step 5: Solve for x
    x = 369,758,353,213.44/523,430.40
  6. Step 6: Final answer
    x = 706,413.60

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.