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Finding the Fourth Proportional to 581,774.57, 802,454.23 and 377,460.47

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Solution

The fourth proportional to 581,774.57, 802,454.23 and 377,460.47 is: 520,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,774.57 : 802,454.23 = 377,460.47 : x
  2. Step 2: Convert to fraction form
    581,774.57/802,454.23 = 377,460.47/x
  3. Step 3: Cross multiply
    581,774.57x = 802,454.23 × 377,460.47
  4. Step 4: Simplify right side
    581,774.57x = 302,894,750,809.29
  5. Step 5: Solve for x
    x = 302,894,750,809.29/581,774.57
  6. Step 6: Final answer
    x = 520,639.38

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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.