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Finding the Fourth Proportional to 524,706.96, 724,029.12 and 298,357.32

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Solution

The fourth proportional to 524,706.96, 724,029.12 and 298,357.32 is: 411,695.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,706.96 : 724,029.12 = 298,357.32 : x
  2. Step 2: Convert to fraction form
    524,706.96/724,029.12 = 298,357.32/x
  3. Step 3: Cross multiply
    524,706.96x = 724,029.12 × 298,357.32
  4. Step 4: Simplify right side
    524,706.96x = 216,019,387,845.16
  5. Step 5: Solve for x
    x = 216,019,387,845.16/524,706.96
  6. Step 6: Final answer
    x = 411,695.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.