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Finding the Fourth Proportional to 359,698.64, 539,547.60 and 106,978.10

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Solution

The fourth proportional to 359,698.64, 539,547.60 and 106,978.10 is: 160,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,698.64 : 539,547.60 = 106,978.10 : x
  2. Step 2: Convert to fraction form
    359,698.64/539,547.60 = 106,978.10/x
  3. Step 3: Cross multiply
    359,698.64x = 539,547.60 × 106,978.10
  4. Step 4: Simplify right side
    359,698.64x = 57,719,777,107.56
  5. Step 5: Solve for x
    x = 57,719,777,107.56/359,698.64
  6. Step 6: Final answer
    x = 160,467.04

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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.