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Finding the Fourth Proportional to 713,228.76, 1,069,434.90 and 292,275

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Solution

The fourth proportional to 713,228.76, 1,069,434.90 and 292,275 is: 438,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,228.76 : 1,069,434.90 = 292,275 : x
  2. Step 2: Convert to fraction form
    713,228.76/1,069,434.90 = 292,275/x
  3. Step 3: Cross multiply
    713,228.76x = 1,069,434.90 × 292,275
  4. Step 4: Simplify right side
    713,228.76x = 312,569,085,397.50
  5. Step 5: Solve for x
    x = 312,569,085,397.50/713,228.76
  6. Step 6: Final answer
    x = 438,245.21

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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.