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Finding the Fourth Proportional to 616,419.24, 924,815.70 and 436,851.84

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Solution

The fourth proportional to 616,419.24, 924,815.70 and 436,851.84 is: 655,410.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,419.24 : 924,815.70 = 436,851.84 : x
  2. Step 2: Convert to fraction form
    616,419.24/924,815.70 = 436,851.84/x
  3. Step 3: Cross multiply
    616,419.24x = 924,815.70 × 436,851.84
  4. Step 4: Simplify right side
    616,419.24x = 404,007,440,205.89
  5. Step 5: Solve for x
    x = 404,007,440,205.89/616,419.24
  6. Step 6: Final answer
    x = 655,410.17

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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.