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Finding the Fourth Proportional to 817,402.50, 1,226,300.63 and 256,437

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Solution

The fourth proportional to 817,402.50, 1,226,300.63 and 256,437 is: 384,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,402.50 : 1,226,300.63 = 256,437 : x
  2. Step 2: Convert to fraction form
    817,402.50/1,226,300.63 = 256,437/x
  3. Step 3: Cross multiply
    817,402.50x = 1,226,300.63 × 256,437
  4. Step 4: Simplify right side
    817,402.50x = 314,468,853,373.13
  5. Step 5: Solve for x
    x = 314,468,853,373.13/817,402.50
  6. Step 6: Final answer
    x = 384,717.26

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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.