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Finding the Fourth Proportional to 517,711.92, 714,302.92 and 302,904.76

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Solution

The fourth proportional to 517,711.92, 714,302.92 and 302,904.76 is: 417,926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,711.92 : 714,302.92 = 302,904.76 : x
  2. Step 2: Convert to fraction form
    517,711.92/714,302.92 = 302,904.76/x
  3. Step 3: Cross multiply
    517,711.92x = 714,302.92 × 302,904.76
  4. Step 4: Simplify right side
    517,711.92x = 216,365,754,549.90
  5. Step 5: Solve for x
    x = 216,365,754,549.90/517,711.92
  6. Step 6: Final answer
    x = 417,926.93

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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.