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Finding the Fourth Proportional to 475,334.06, 712,521.32 and 297,965.63

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Solution

The fourth proportional to 475,334.06, 712,521.32 and 297,965.63 is: 446,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,334.06 : 712,521.32 = 297,965.63 : x
  2. Step 2: Convert to fraction form
    475,334.06/712,521.32 = 297,965.63/x
  3. Step 3: Cross multiply
    475,334.06x = 712,521.32 × 297,965.63
  4. Step 4: Simplify right side
    475,334.06x = 212,306,864,293.71
  5. Step 5: Solve for x
    x = 212,306,864,293.71/475,334.06
  6. Step 6: Final answer
    x = 446,647.70

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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.