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Finding the Fourth Proportional to 714,840.32, 986,701.07 and 460,191.50

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Solution

The fourth proportional to 714,840.32, 986,701.07 and 460,191.50 is: 635,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,840.32 : 986,701.07 = 460,191.50 : x
  2. Step 2: Convert to fraction form
    714,840.32/986,701.07 = 460,191.50/x
  3. Step 3: Cross multiply
    714,840.32x = 986,701.07 × 460,191.50
  4. Step 4: Simplify right side
    714,840.32x = 454,071,443,153.95
  5. Step 5: Solve for x
    x = 454,071,443,153.95/714,840.32
  6. Step 6: Final answer
    x = 635,206.82

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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.