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Finding the Fourth Proportional to 359,220, 538,851.76 and 109,904.16

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Solution

The fourth proportional to 359,220, 538,851.76 and 109,904.16 is: 164,862.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,220 : 538,851.76 = 109,904.16 : x
  2. Step 2: Convert to fraction form
    359,220/538,851.76 = 109,904.16/x
  3. Step 3: Cross multiply
    359,220x = 538,851.76 × 109,904.16
  4. Step 4: Simplify right side
    359,220x = 59,222,050,047.32
  5. Step 5: Solve for x
    x = 59,222,050,047.32/359,220
  6. Step 6: Final answer
    x = 164,862.90

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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.