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Finding the Fourth Proportional to 475,897.20, 712,443.30 and 416,848.20

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Solution

The fourth proportional to 475,897.20, 712,443.30 and 416,848.20 is: 624,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,897.20 : 712,443.30 = 416,848.20 : x
  2. Step 2: Convert to fraction form
    475,897.20/712,443.30 = 416,848.20/x
  3. Step 3: Cross multiply
    475,897.20x = 712,443.30 × 416,848.20
  4. Step 4: Simplify right side
    475,897.20x = 296,980,707,207.06
  5. Step 5: Solve for x
    x = 296,980,707,207.06/475,897.20
  6. Step 6: Final answer
    x = 624,043.82

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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.