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Finding the Fourth Proportional to 535,117.36, 738,470.28 and 293,422

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Solution

The fourth proportional to 535,117.36, 738,470.28 and 293,422 is: 404,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,117.36 : 738,470.28 = 293,422 : x
  2. Step 2: Convert to fraction form
    535,117.36/738,470.28 = 293,422/x
  3. Step 3: Cross multiply
    535,117.36x = 738,470.28 × 293,422
  4. Step 4: Simplify right side
    535,117.36x = 216,683,426,498.16
  5. Step 5: Solve for x
    x = 216,683,426,498.16/535,117.36
  6. Step 6: Final answer
    x = 404,926.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.