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Finding the Fourth Proportional to 523,870.80, 785,806.20 and 313,400.40

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Solution

The fourth proportional to 523,870.80, 785,806.20 and 313,400.40 is: 470,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,870.80 : 785,806.20 = 313,400.40 : x
  2. Step 2: Convert to fraction form
    523,870.80/785,806.20 = 313,400.40/x
  3. Step 3: Cross multiply
    523,870.80x = 785,806.20 × 313,400.40
  4. Step 4: Simplify right side
    523,870.80x = 246,271,977,402.48
  5. Step 5: Solve for x
    x = 246,271,977,402.48/523,870.80
  6. Step 6: Final answer
    x = 470,100.60

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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.