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Finding the Fourth Proportional to 464,695.08, 641,640.42 and 357,095.40

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Solution

The fourth proportional to 464,695.08, 641,640.42 and 357,095.40 is: 493,069.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,695.08 : 641,640.42 = 357,095.40 : x
  2. Step 2: Convert to fraction form
    464,695.08/641,640.42 = 357,095.40/x
  3. Step 3: Cross multiply
    464,695.08x = 641,640.42 × 357,095.40
  4. Step 4: Simplify right side
    464,695.08x = 229,126,842,436.07
  5. Step 5: Solve for x
    x = 229,126,842,436.07/464,695.08
  6. Step 6: Final answer
    x = 493,069.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.