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Finding the Fourth Proportional to 473,427.40, 710,141.10 and 421,817.80

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Solution

The fourth proportional to 473,427.40, 710,141.10 and 421,817.80 is: 632,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,427.40 : 710,141.10 = 421,817.80 : x
  2. Step 2: Convert to fraction form
    473,427.40/710,141.10 = 421,817.80/x
  3. Step 3: Cross multiply
    473,427.40x = 710,141.10 × 421,817.80
  4. Step 4: Simplify right side
    473,427.40x = 299,550,156,491.58
  5. Step 5: Solve for x
    x = 299,550,156,491.58/473,427.40
  6. Step 6: Final answer
    x = 632,726.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.