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Finding the Fourth Proportional to 506,594.24, 699,107.52 and 280,238.72

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Solution

The fourth proportional to 506,594.24, 699,107.52 and 280,238.72 is: 386,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,594.24 : 699,107.52 = 280,238.72 : x
  2. Step 2: Convert to fraction form
    506,594.24/699,107.52 = 280,238.72/x
  3. Step 3: Cross multiply
    506,594.24x = 699,107.52 × 280,238.72
  4. Step 4: Simplify right side
    506,594.24x = 195,916,996,547.17
  5. Step 5: Solve for x
    x = 195,916,996,547.17/506,594.24
  6. Step 6: Final answer
    x = 386,733.57

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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.