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Finding the Fourth Proportional to 714,084.95, 985,437.15 and 408,167.87

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Solution

The fourth proportional to 714,084.95, 985,437.15 and 408,167.87 is: 563,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,084.95 : 985,437.15 = 408,167.87 : x
  2. Step 2: Convert to fraction form
    714,084.95/985,437.15 = 408,167.87/x
  3. Step 3: Cross multiply
    714,084.95x = 985,437.15 × 408,167.87
  4. Step 4: Simplify right side
    714,084.95x = 402,223,782,534.37
  5. Step 5: Solve for x
    x = 402,223,782,534.37/714,084.95
  6. Step 6: Final answer
    x = 563,271.61

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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.