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Finding the Fourth Proportional to 540,018.90, 745,937.10 and 414,246.96

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Solution

The fourth proportional to 540,018.90, 745,937.10 and 414,246.96 is: 572,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,018.90 : 745,937.10 = 414,246.96 : x
  2. Step 2: Convert to fraction form
    540,018.90/745,937.10 = 414,246.96/x
  3. Step 3: Cross multiply
    540,018.90x = 745,937.10 × 414,246.96
  4. Step 4: Simplify right side
    540,018.90x = 309,002,176,026.22
  5. Step 5: Solve for x
    x = 309,002,176,026.22/540,018.90
  6. Step 6: Final answer
    x = 572,206.22

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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.