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Finding the Fourth Proportional to 604,929.48, 907,477.24 and 205,463

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Solution

The fourth proportional to 604,929.48, 907,477.24 and 205,463 is: 308,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,929.48 : 907,477.24 = 205,463 : x
  2. Step 2: Convert to fraction form
    604,929.48/907,477.24 = 205,463/x
  3. Step 3: Cross multiply
    604,929.48x = 907,477.24 × 205,463
  4. Step 4: Simplify right side
    604,929.48x = 186,452,996,162.12
  5. Step 5: Solve for x
    x = 186,452,996,162.12/604,929.48
  6. Step 6: Final answer
    x = 308,222.70

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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.