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Finding the Fourth Proportional to 532,291.78, 732,698.19 and 464,188.60

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Solution

The fourth proportional to 532,291.78, 732,698.19 and 464,188.60 is: 638,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,291.78 : 732,698.19 = 464,188.60 : x
  2. Step 2: Convert to fraction form
    532,291.78/732,698.19 = 464,188.60/x
  3. Step 3: Cross multiply
    532,291.78x = 732,698.19 × 464,188.60
  4. Step 4: Simplify right side
    532,291.78x = 340,110,146,549.44
  5. Step 5: Solve for x
    x = 340,110,146,549.44/532,291.78
  6. Step 6: Final answer
    x = 638,954.34

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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.