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Finding the Fourth Proportional to 434,561.10, 651,841.65 and 314,810.70

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Solution

The fourth proportional to 434,561.10, 651,841.65 and 314,810.70 is: 472,216.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,561.10 : 651,841.65 = 314,810.70 : x
  2. Step 2: Convert to fraction form
    434,561.10/651,841.65 = 314,810.70/x
  3. Step 3: Cross multiply
    434,561.10x = 651,841.65 × 314,810.70
  4. Step 4: Simplify right side
    434,561.10x = 205,206,726,125.66
  5. Step 5: Solve for x
    x = 205,206,726,125.66/434,561.10
  6. Step 6: Final answer
    x = 472,216.05

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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.