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Finding the Fourth Proportional to 524,956.16, 787,781.64 and 288,463.52

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Solution

The fourth proportional to 524,956.16, 787,781.64 and 288,463.52 is: 432,886.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,956.16 : 787,781.64 = 288,463.52 : x
  2. Step 2: Convert to fraction form
    524,956.16/787,781.64 = 288,463.52/x
  3. Step 3: Cross multiply
    524,956.16x = 787,781.64 × 288,463.52
  4. Step 4: Simplify right side
    524,956.16x = 227,246,264,865.77
  5. Step 5: Solve for x
    x = 227,246,264,865.77/524,956.16
  6. Step 6: Final answer
    x = 432,886.18

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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.