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Finding the Fourth Proportional to 514,653.89, 710,222.45 and 288,299.39

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Solution

The fourth proportional to 514,653.89, 710,222.45 and 288,299.39 is: 397,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,653.89 : 710,222.45 = 288,299.39 : x
  2. Step 2: Convert to fraction form
    514,653.89/710,222.45 = 288,299.39/x
  3. Step 3: Cross multiply
    514,653.89x = 710,222.45 × 288,299.39
  4. Step 4: Simplify right side
    514,653.89x = 204,756,694,106.70
  5. Step 5: Solve for x
    x = 204,756,694,106.70/514,653.89
  6. Step 6: Final answer
    x = 397,853.20

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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.