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Finding the Fourth Proportional to 473,670.30, 710,505.45 and 412,844.70

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Solution

The fourth proportional to 473,670.30, 710,505.45 and 412,844.70 is: 619,267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,670.30 : 710,505.45 = 412,844.70 : x
  2. Step 2: Convert to fraction form
    473,670.30/710,505.45 = 412,844.70/x
  3. Step 3: Cross multiply
    473,670.30x = 710,505.45 × 412,844.70
  4. Step 4: Simplify right side
    473,670.30x = 293,328,409,353.62
  5. Step 5: Solve for x
    x = 293,328,409,353.62/473,670.30
  6. Step 6: Final answer
    x = 619,267.05

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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.