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Finding the Fourth Proportional to 564,029.46, 777,920.76 and 349,288.74

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Solution

The fourth proportional to 564,029.46, 777,920.76 and 349,288.74 is: 481,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,029.46 : 777,920.76 = 349,288.74 : x
  2. Step 2: Convert to fraction form
    564,029.46/777,920.76 = 349,288.74/x
  3. Step 3: Cross multiply
    564,029.46x = 777,920.76 × 349,288.74
  4. Step 4: Simplify right side
    564,029.46x = 271,718,962,080.24
  5. Step 5: Solve for x
    x = 271,718,962,080.24/564,029.46
  6. Step 6: Final answer
    x = 481,746.05

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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.