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Finding the Fourth Proportional to 463,864.40, 695,278.20 and 264,280.40

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Solution

The fourth proportional to 463,864.40, 695,278.20 and 264,280.40 is: 396,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,864.40 : 695,278.20 = 264,280.40 : x
  2. Step 2: Convert to fraction form
    463,864.40/695,278.20 = 264,280.40/x
  3. Step 3: Cross multiply
    463,864.40x = 695,278.20 × 264,280.40
  4. Step 4: Simplify right side
    463,864.40x = 183,748,400,807.28
  5. Step 5: Solve for x
    x = 183,748,400,807.28/463,864.40
  6. Step 6: Final answer
    x = 396,125.25

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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.