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Finding the Fourth Proportional to 924,817, 1,387,225.50 and 259,969

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Solution

The fourth proportional to 924,817, 1,387,225.50 and 259,969 is: 389,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,817 : 1,387,225.50 = 259,969 : x
  2. Step 2: Convert to fraction form
    924,817/1,387,225.50 = 259,969/x
  3. Step 3: Cross multiply
    924,817x = 1,387,225.50 × 259,969
  4. Step 4: Simplify right side
    924,817x = 360,635,626,009.50
  5. Step 5: Solve for x
    x = 360,635,626,009.50/924,817
  6. Step 6: Final answer
    x = 389,953.50

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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.