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Finding the Fourth Proportional to 513,197.88, 708,184.47 and 283,741.89

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Solution

The fourth proportional to 513,197.88, 708,184.47 and 283,741.89 is: 391,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,197.88 : 708,184.47 = 283,741.89 : x
  2. Step 2: Convert to fraction form
    513,197.88/708,184.47 = 283,741.89/x
  3. Step 3: Cross multiply
    513,197.88x = 708,184.47 × 283,741.89
  4. Step 4: Simplify right side
    513,197.88x = 200,941,599,986.45
  5. Step 5: Solve for x
    x = 200,941,599,986.45/513,197.88
  6. Step 6: Final answer
    x = 391,547.99

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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.