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Finding the Fourth Proportional to 473,670.30, 710,505.45 and 434,963.10

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Solution

The fourth proportional to 473,670.30, 710,505.45 and 434,963.10 is: 652,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,670.30 : 710,505.45 = 434,963.10 : x
  2. Step 2: Convert to fraction form
    473,670.30/710,505.45 = 434,963.10/x
  3. Step 3: Cross multiply
    473,670.30x = 710,505.45 × 434,963.10
  4. Step 4: Simplify right side
    473,670.30x = 309,043,653,098.90
  5. Step 5: Solve for x
    x = 309,043,653,098.90/473,670.30
  6. Step 6: Final answer
    x = 652,444.65

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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.