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Finding the Fourth Proportional to 357,712.40, 537,605.40 and 312,093.20

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Solution

The fourth proportional to 357,712.40, 537,605.40 and 312,093.20 is: 469,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,712.40 : 537,605.40 = 312,093.20 : x
  2. Step 2: Convert to fraction form
    357,712.40/537,605.40 = 312,093.20/x
  3. Step 3: Cross multiply
    357,712.40x = 537,605.40 × 312,093.20
  4. Step 4: Simplify right side
    357,712.40x = 167,782,989,623.28
  5. Step 5: Solve for x
    x = 167,782,989,623.28/357,712.40
  6. Step 6: Final answer
    x = 469,044.38

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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.