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Finding the Fourth Proportional to 760,713.42, 1,049,780.91 and 411,854.10

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Solution

The fourth proportional to 760,713.42, 1,049,780.91 and 411,854.10 is: 568,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,713.42 : 1,049,780.91 = 411,854.10 : x
  2. Step 2: Convert to fraction form
    760,713.42/1,049,780.91 = 411,854.10/x
  3. Step 3: Cross multiply
    760,713.42x = 1,049,780.91 × 411,854.10
  4. Step 4: Simplify right side
    760,713.42x = 432,356,571,885.23
  5. Step 5: Solve for x
    x = 432,356,571,885.23/760,713.42
  6. Step 6: Final answer
    x = 568,356.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.