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Finding the Fourth Proportional to 646,985.70, 970,248.15 and 292,169.70

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Solution

The fourth proportional to 646,985.70, 970,248.15 and 292,169.70 is: 438,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,985.70 : 970,248.15 = 292,169.70 : x
  2. Step 2: Convert to fraction form
    646,985.70/970,248.15 = 292,169.70/x
  3. Step 3: Cross multiply
    646,985.70x = 970,248.15 × 292,169.70
  4. Step 4: Simplify right side
    646,985.70x = 283,477,110,911.06
  5. Step 5: Solve for x
    x = 283,477,110,911.06/646,985.70
  6. Step 6: Final answer
    x = 438,150.50

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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.