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Finding the Fourth Proportional to 517,567.26, 714,226.06 and 288,117.05

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Solution

The fourth proportional to 517,567.26, 714,226.06 and 288,117.05 is: 397,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,567.26 : 714,226.06 = 288,117.05 : x
  2. Step 2: Convert to fraction form
    517,567.26/714,226.06 = 288,117.05/x
  3. Step 3: Cross multiply
    517,567.26x = 714,226.06 × 288,117.05
  4. Step 4: Simplify right side
    517,567.26x = 205,780,705,440.32
  5. Step 5: Solve for x
    x = 205,780,705,440.32/517,567.26
  6. Step 6: Final answer
    x = 397,592.20

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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.