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Finding the Fourth Proportional to 924,483.84, 1,386,777.60 and 259,584

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Solution

The fourth proportional to 924,483.84, 1,386,777.60 and 259,584 is: 389,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,483.84 : 1,386,777.60 = 259,584 : x
  2. Step 2: Convert to fraction form
    924,483.84/1,386,777.60 = 259,584/x
  3. Step 3: Cross multiply
    924,483.84x = 1,386,777.60 × 259,584
  4. Step 4: Simplify right side
    924,483.84x = 359,985,276,518.40
  5. Step 5: Solve for x
    x = 359,985,276,518.40/924,483.84
  6. Step 6: Final answer
    x = 389,390.56

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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.