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Finding the Fourth Proportional to 517,908.68, 714,782.10 and 291,598.28

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Solution

The fourth proportional to 517,908.68, 714,782.10 and 291,598.28 is: 402,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,908.68 : 714,782.10 = 291,598.28 : x
  2. Step 2: Convert to fraction form
    517,908.68/714,782.10 = 291,598.28/x
  3. Step 3: Cross multiply
    517,908.68x = 714,782.10 × 291,598.28
  4. Step 4: Simplify right side
    517,908.68x = 208,429,230,934.79
  5. Step 5: Solve for x
    x = 208,429,230,934.79/517,908.68
  6. Step 6: Final answer
    x = 402,443.98

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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.