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Finding the Fourth Proportional to 359,214.48, 539,030.97 and 199,424.16

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Solution

The fourth proportional to 359,214.48, 539,030.97 and 199,424.16 is: 299,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,214.48 : 539,030.97 = 199,424.16 : x
  2. Step 2: Convert to fraction form
    359,214.48/539,030.97 = 199,424.16/x
  3. Step 3: Cross multiply
    359,214.48x = 539,030.97 × 199,424.16
  4. Step 4: Simplify right side
    359,214.48x = 107,495,798,406.24
  5. Step 5: Solve for x
    x = 107,495,798,406.24/359,214.48
  6. Step 6: Final answer
    x = 299,252.41

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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.