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Finding the Fourth Proportional to 523,340.40, 785,010.60 and 470,852.40

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Solution

The fourth proportional to 523,340.40, 785,010.60 and 470,852.40 is: 706,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,340.40 : 785,010.60 = 470,852.40 : x
  2. Step 2: Convert to fraction form
    523,340.40/785,010.60 = 470,852.40/x
  3. Step 3: Cross multiply
    523,340.40x = 785,010.60 × 470,852.40
  4. Step 4: Simplify right side
    523,340.40x = 369,624,125,035.44
  5. Step 5: Solve for x
    x = 369,624,125,035.44/523,340.40
  6. Step 6: Final answer
    x = 706,278.60

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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.