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Finding the Fourth Proportional to 438,214.13, 657,393.86 and 153,830.93

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Solution

The fourth proportional to 438,214.13, 657,393.86 and 153,830.93 is: 230,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,214.13 : 657,393.86 = 153,830.93 : x
  2. Step 2: Convert to fraction form
    438,214.13/657,393.86 = 153,830.93/x
  3. Step 3: Cross multiply
    438,214.13x = 657,393.86 × 153,830.93
  4. Step 4: Simplify right side
    438,214.13x = 101,127,505,957.70
  5. Step 5: Solve for x
    x = 101,127,505,957.70/438,214.13
  6. Step 6: Final answer
    x = 230,771.90

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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.