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Finding the Fourth Proportional to 438,054.49, 656,830.23 and 171,502.93

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Solution

The fourth proportional to 438,054.49, 656,830.23 and 171,502.93 is: 257,155.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,054.49 : 656,830.23 = 171,502.93 : x
  2. Step 2: Convert to fraction form
    438,054.49/656,830.23 = 171,502.93/x
  3. Step 3: Cross multiply
    438,054.49x = 656,830.23 × 171,502.93
  4. Step 4: Simplify right side
    438,054.49x = 112,648,308,957.57
  5. Step 5: Solve for x
    x = 112,648,308,957.57/438,054.49
  6. Step 6: Final answer
    x = 257,155.93

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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.