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Finding the Fourth Proportional to 524,715.96, 724,041.54 and 298,366.32

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Solution

The fourth proportional to 524,715.96, 724,041.54 and 298,366.32 is: 411,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,715.96 : 724,041.54 = 298,366.32 : x
  2. Step 2: Convert to fraction form
    524,715.96/724,041.54 = 298,366.32/x
  3. Step 3: Cross multiply
    524,715.96x = 724,041.54 × 298,366.32
  4. Step 4: Simplify right side
    524,715.96x = 216,029,609,816.93
  5. Step 5: Solve for x
    x = 216,029,609,816.93/524,715.96
  6. Step 6: Final answer
    x = 411,707.72

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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.