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Finding the Fourth Proportional to 468,897.18, 703,870.65 and 311,433.18

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Solution

The fourth proportional to 468,897.18, 703,870.65 and 311,433.18 is: 467,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,897.18 : 703,870.65 = 311,433.18 : x
  2. Step 2: Convert to fraction form
    468,897.18/703,870.65 = 311,433.18/x
  3. Step 3: Cross multiply
    468,897.18x = 703,870.65 × 311,433.18
  4. Step 4: Simplify right side
    468,897.18x = 219,208,674,838.17
  5. Step 5: Solve for x
    x = 219,208,674,838.17/468,897.18
  6. Step 6: Final answer
    x = 467,498.39

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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.