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Finding the Fourth Proportional to 541,510.74, 747,256.36 and 296,448.54

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Solution

The fourth proportional to 541,510.74, 747,256.36 and 296,448.54 is: 409,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,510.74 : 747,256.36 = 296,448.54 : x
  2. Step 2: Convert to fraction form
    541,510.74/747,256.36 = 296,448.54/x
  3. Step 3: Cross multiply
    541,510.74x = 747,256.36 × 296,448.54
  4. Step 4: Simplify right side
    541,510.74x = 221,523,056,927.71
  5. Step 5: Solve for x
    x = 221,523,056,927.71/541,510.74
  6. Step 6: Final answer
    x = 409,083.40

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1.5x scale

Why These Related Problems?

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