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Finding the Fourth Proportional to 316,034.51, 474,065.60 and 91,417.65

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Solution

The fourth proportional to 316,034.51, 474,065.60 and 91,417.65 is: 137,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,034.51 : 474,065.60 = 91,417.65 : x
  2. Step 2: Convert to fraction form
    316,034.51/474,065.60 = 91,417.65/x
  3. Step 3: Cross multiply
    316,034.51x = 474,065.60 × 91,417.65
  4. Step 4: Simplify right side
    316,034.51x = 43,337,963,326.38
  5. Step 5: Solve for x
    x = 43,337,963,326.38/316,034.51
  6. Step 6: Final answer
    x = 137,130.48

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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.