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Finding the Fourth Proportional to 510,157.52, 704,016.84 and 283,798.16

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Solution

The fourth proportional to 510,157.52, 704,016.84 and 283,798.16 is: 391,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,157.52 : 704,016.84 = 283,798.16 : x
  2. Step 2: Convert to fraction form
    510,157.52/704,016.84 = 283,798.16/x
  3. Step 3: Cross multiply
    510,157.52x = 704,016.84 × 283,798.16
  4. Step 4: Simplify right side
    510,157.52x = 199,798,683,801.01
  5. Step 5: Solve for x
    x = 199,798,683,801.01/510,157.52
  6. Step 6: Final answer
    x = 391,641.16

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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.