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Finding the Fourth Proportional to 521,497.72, 719,295.42 and 478,615.42

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Solution

The fourth proportional to 521,497.72, 719,295.42 and 478,615.42 is: 660,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,497.72 : 719,295.42 = 478,615.42 : x
  2. Step 2: Convert to fraction form
    521,497.72/719,295.42 = 478,615.42/x
  3. Step 3: Cross multiply
    521,497.72x = 719,295.42 × 478,615.42
  4. Step 4: Simplify right side
    521,497.72x = 344,265,879,547.38
  5. Step 5: Solve for x
    x = 344,265,879,547.38/521,497.72
  6. Step 6: Final answer
    x = 660,148.39

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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.