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Finding the Fourth Proportional to 676,482.84, 933,553.18 and 408,159

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Solution

The fourth proportional to 676,482.84, 933,553.18 and 408,159 is: 563,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,482.84 : 933,553.18 = 408,159 : x
  2. Step 2: Convert to fraction form
    676,482.84/933,553.18 = 408,159/x
  3. Step 3: Cross multiply
    676,482.84x = 933,553.18 × 408,159
  4. Step 4: Simplify right side
    676,482.84x = 381,038,132,395.62
  5. Step 5: Solve for x
    x = 381,038,132,395.62/676,482.84
  6. Step 6: Final answer
    x = 563,263.56

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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.