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Finding the Fourth Proportional to 473,106.60, 708,623.10 and 410,898.60

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Solution

The fourth proportional to 473,106.60, 708,623.10 and 410,898.60 is: 615,447.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,106.60 : 708,623.10 = 410,898.60 : x
  2. Step 2: Convert to fraction form
    473,106.60/708,623.10 = 410,898.60/x
  3. Step 3: Cross multiply
    473,106.60x = 708,623.10 × 410,898.60
  4. Step 4: Simplify right side
    473,106.60x = 291,172,239,717.66
  5. Step 5: Solve for x
    x = 291,172,239,717.66/473,106.60
  6. Step 6: Final answer
    x = 615,447.43

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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.