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Finding the Fourth Proportional to 514,653.72, 710,222.31 and 313,449.72

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Solution

The fourth proportional to 514,653.72, 710,222.31 and 313,449.72 is: 432,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,653.72 : 710,222.31 = 313,449.72 : x
  2. Step 2: Convert to fraction form
    514,653.72/710,222.31 = 313,449.72/x
  3. Step 3: Cross multiply
    514,653.72x = 710,222.31 × 313,449.72
  4. Step 4: Simplify right side
    514,653.72x = 222,618,984,207.25
  5. Step 5: Solve for x
    x = 222,618,984,207.25/514,653.72
  6. Step 6: Final answer
    x = 432,560.72

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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.