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Finding the Fourth Proportional to 677,601.50, 935,260 and 460,178.06

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Solution

The fourth proportional to 677,601.50, 935,260 and 460,178.06 is: 635,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,601.50 : 935,260 = 460,178.06 : x
  2. Step 2: Convert to fraction form
    677,601.50/935,260 = 460,178.06/x
  3. Step 3: Cross multiply
    677,601.50x = 935,260 × 460,178.06
  4. Step 4: Simplify right side
    677,601.50x = 430,386,132,395.60
  5. Step 5: Solve for x
    x = 430,386,132,395.60/677,601.50
  6. Step 6: Final answer
    x = 635,161.13

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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.