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Finding the Fourth Proportional to 559,186.90, 837,950.88 and 410,717.14

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Solution

The fourth proportional to 559,186.90, 837,950.88 and 410,717.14 is: 615,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,186.90 : 837,950.88 = 410,717.14 : x
  2. Step 2: Convert to fraction form
    559,186.90/837,950.88 = 410,717.14/x
  3. Step 3: Cross multiply
    559,186.90x = 837,950.88 × 410,717.14
  4. Step 4: Simplify right side
    559,186.90x = 344,160,788,894.08
  5. Step 5: Solve for x
    x = 344,160,788,894.08/559,186.90
  6. Step 6: Final answer
    x = 615,466.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.