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Finding the Fourth Proportional to 584,737.95, 877,138.32 and 185,409.86

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Solution

The fourth proportional to 584,737.95, 877,138.32 and 185,409.86 is: 278,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,737.95 : 877,138.32 = 185,409.86 : x
  2. Step 2: Convert to fraction form
    584,737.95/877,138.32 = 185,409.86/x
  3. Step 3: Cross multiply
    584,737.95x = 877,138.32 × 185,409.86
  4. Step 4: Simplify right side
    584,737.95x = 162,630,093,111.84
  5. Step 5: Solve for x
    x = 162,630,093,111.84/584,737.95
  6. Step 6: Final answer
    x = 278,124.74

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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.