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Finding the Fourth Proportional to 314,955.50, 472,456.35 and 134,865.29

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Solution

The fourth proportional to 314,955.50, 472,456.35 and 134,865.29 is: 202,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,955.50 : 472,456.35 = 134,865.29 : x
  2. Step 2: Convert to fraction form
    314,955.50/472,456.35 = 134,865.29/x
  3. Step 3: Cross multiply
    314,955.50x = 472,456.35 × 134,865.29
  4. Step 4: Simplify right side
    314,955.50x = 63,717,960,292.81
  5. Step 5: Solve for x
    x = 63,717,960,292.81/314,955.50
  6. Step 6: Final answer
    x = 202,307.82

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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.