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Finding the Fourth Proportional to 405,024.30, 607,536.45 and 310,545.90

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Solution

The fourth proportional to 405,024.30, 607,536.45 and 310,545.90 is: 465,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,024.30 : 607,536.45 = 310,545.90 : x
  2. Step 2: Convert to fraction form
    405,024.30/607,536.45 = 310,545.90/x
  3. Step 3: Cross multiply
    405,024.30x = 607,536.45 × 310,545.90
  4. Step 4: Simplify right side
    405,024.30x = 188,667,953,648.06
  5. Step 5: Solve for x
    x = 188,667,953,648.06/405,024.30
  6. Step 6: Final answer
    x = 465,818.85

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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.