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Finding the Fourth Proportional to 310,957.59, 465,501.96 and 278,475.93

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Solution

The fourth proportional to 310,957.59, 465,501.96 and 278,475.93 is: 416,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,957.59 : 465,501.96 = 278,475.93 : x
  2. Step 2: Convert to fraction form
    310,957.59/465,501.96 = 278,475.93/x
  3. Step 3: Cross multiply
    310,957.59x = 465,501.96 × 278,475.93
  4. Step 4: Simplify right side
    310,957.59x = 129,631,091,227.82
  5. Step 5: Solve for x
    x = 129,631,091,227.82/310,957.59
  6. Step 6: Final answer
    x = 416,877.08

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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.