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Finding the Fourth Proportional to 364,575.80, 546,863.70 and 314,712.20

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Solution

The fourth proportional to 364,575.80, 546,863.70 and 314,712.20 is: 472,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,575.80 : 546,863.70 = 314,712.20 : x
  2. Step 2: Convert to fraction form
    364,575.80/546,863.70 = 314,712.20/x
  3. Step 3: Cross multiply
    364,575.80x = 546,863.70 × 314,712.20
  4. Step 4: Simplify right side
    364,575.80x = 172,104,678,127.14
  5. Step 5: Solve for x
    x = 172,104,678,127.14/364,575.80
  6. Step 6: Final answer
    x = 472,068.30

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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.