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Finding the Fourth Proportional to 541,509.16, 747,254.22 and 296,446.94

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Solution

The fourth proportional to 541,509.16, 747,254.22 and 296,446.94 is: 409,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,509.16 : 747,254.22 = 296,446.94 : x
  2. Step 2: Convert to fraction form
    541,509.16/747,254.22 = 296,446.94/x
  3. Step 3: Cross multiply
    541,509.16x = 747,254.22 × 296,446.94
  4. Step 4: Simplify right side
    541,509.16x = 221,521,226,921.09
  5. Step 5: Solve for x
    x = 221,521,226,921.09/541,509.16
  6. Step 6: Final answer
    x = 409,081.22

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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.