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Finding the Fourth Proportional to 359,921.32, 540,209.40 and 191,583.16

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Solution

The fourth proportional to 359,921.32, 540,209.40 and 191,583.16 is: 287,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,921.32 : 540,209.40 = 191,583.16 : x
  2. Step 2: Convert to fraction form
    359,921.32/540,209.40 = 191,583.16/x
  3. Step 3: Cross multiply
    359,921.32x = 540,209.40 × 191,583.16
  4. Step 4: Simplify right side
    359,921.32x = 103,495,023,913.70
  5. Step 5: Solve for x
    x = 103,495,023,913.70/359,921.32
  6. Step 6: Final answer
    x = 287,549.02

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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.