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Finding the Fourth Proportional to 473,671.30, 710,506.95 and 410,080.90

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Solution

The fourth proportional to 473,671.30, 710,506.95 and 410,080.90 is: 615,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,671.30 : 710,506.95 = 410,080.90 : x
  2. Step 2: Convert to fraction form
    473,671.30/710,506.95 = 410,080.90/x
  3. Step 3: Cross multiply
    473,671.30x = 710,506.95 × 410,080.90
  4. Step 4: Simplify right side
    473,671.30x = 291,365,329,512.26
  5. Step 5: Solve for x
    x = 291,365,329,512.26/473,671.30
  6. Step 6: Final answer
    x = 615,121.35

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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.