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Finding the Fourth Proportional to 464,547.86, 696,687.92 and 127,599.50

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Solution

The fourth proportional to 464,547.86, 696,687.92 and 127,599.50 is: 191,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,547.86 : 696,687.92 = 127,599.50 : x
  2. Step 2: Convert to fraction form
    464,547.86/696,687.92 = 127,599.50/x
  3. Step 3: Cross multiply
    464,547.86x = 696,687.92 × 127,599.50
  4. Step 4: Simplify right side
    464,547.86x = 88,897,031,830.26
  5. Step 5: Solve for x
    x = 88,897,031,830.26/464,547.86
  6. Step 6: Final answer
    x = 191,362.48

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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.