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Finding the Fourth Proportional to 463,641.06, 695,461.60 and 253,164.18

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Solution

The fourth proportional to 463,641.06, 695,461.60 and 253,164.18 is: 379,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,641.06 : 695,461.60 = 253,164.18 : x
  2. Step 2: Convert to fraction form
    463,641.06/695,461.60 = 253,164.18/x
  3. Step 3: Cross multiply
    463,641.06x = 695,461.60 × 253,164.18
  4. Step 4: Simplify right side
    463,641.06x = 176,065,965,685.49
  5. Step 5: Solve for x
    x = 176,065,965,685.49/463,641.06
  6. Step 6: Final answer
    x = 379,746.28

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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.