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Finding the Fourth Proportional to 462,330.24, 638,007.36 and 258,384.96

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Solution

The fourth proportional to 462,330.24, 638,007.36 and 258,384.96 is: 356,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,330.24 : 638,007.36 = 258,384.96 : x
  2. Step 2: Convert to fraction form
    462,330.24/638,007.36 = 258,384.96/x
  3. Step 3: Cross multiply
    462,330.24x = 638,007.36 × 258,384.96
  4. Step 4: Simplify right side
    462,330.24x = 164,851,506,193.31
  5. Step 5: Solve for x
    x = 164,851,506,193.31/462,330.24
  6. Step 6: Final answer
    x = 356,566.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.