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Finding the Fourth Proportional to 584,874.34, 877,304.54 and 185,518.57

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Solution

The fourth proportional to 584,874.34, 877,304.54 and 185,518.57 is: 278,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,874.34 : 877,304.54 = 185,518.57 : x
  2. Step 2: Convert to fraction form
    584,874.34/877,304.54 = 185,518.57/x
  3. Step 3: Cross multiply
    584,874.34x = 877,304.54 × 185,518.57
  4. Step 4: Simplify right side
    584,874.34x = 162,756,282,587.25
  5. Step 5: Solve for x
    x = 162,756,282,587.25/584,874.34
  6. Step 6: Final answer
    x = 278,275.64

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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.