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Finding the Fourth Proportional to 584,692.22, 877,147.68 and 185,225.74

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Solution

The fourth proportional to 584,692.22, 877,147.68 and 185,225.74 is: 277,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,692.22 : 877,147.68 = 185,225.74 : x
  2. Step 2: Convert to fraction form
    584,692.22/877,147.68 = 185,225.74/x
  3. Step 3: Cross multiply
    584,692.22x = 877,147.68 × 185,225.74
  4. Step 4: Simplify right side
    584,692.22x = 162,470,326,619.01
  5. Step 5: Solve for x
    x = 162,470,326,619.01/584,692.22
  6. Step 6: Final answer
    x = 277,873.25

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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.