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Finding the Fourth Proportional to 359,071.20, 537,829.20 and 312,415.20

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Solution

The fourth proportional to 359,071.20, 537,829.20 and 312,415.20 is: 467,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,071.20 : 537,829.20 = 312,415.20 : x
  2. Step 2: Convert to fraction form
    359,071.20/537,829.20 = 312,415.20/x
  3. Step 3: Cross multiply
    359,071.20x = 537,829.20 × 312,415.20
  4. Step 4: Simplify right side
    359,071.20x = 168,026,017,083.84
  5. Step 5: Solve for x
    x = 168,026,017,083.84/359,071.20
  6. Step 6: Final answer
    x = 467,946.24

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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.