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Finding the Fourth Proportional to 357,309.40, 535,263.44 and 207,234.42

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Solution

The fourth proportional to 357,309.40, 535,263.44 and 207,234.42 is: 310,445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,309.40 : 535,263.44 = 207,234.42 : x
  2. Step 2: Convert to fraction form
    357,309.40/535,263.44 = 207,234.42/x
  3. Step 3: Cross multiply
    357,309.40x = 535,263.44 × 207,234.42
  4. Step 4: Simplify right side
    357,309.40x = 110,925,008,535.61
  5. Step 5: Solve for x
    x = 110,925,008,535.61/357,309.40
  6. Step 6: Final answer
    x = 310,445.26

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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.