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Finding the Fourth Proportional to 462,326.66, 638,030.50 and 258,377.58

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Solution

The fourth proportional to 462,326.66, 638,030.50 and 258,377.58 is: 356,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,326.66 : 638,030.50 = 258,377.58 : x
  2. Step 2: Convert to fraction form
    462,326.66/638,030.50 = 258,377.58/x
  3. Step 3: Cross multiply
    462,326.66x = 638,030.50 × 258,377.58
  4. Step 4: Simplify right side
    462,326.66x = 164,852,776,556.19
  5. Step 5: Solve for x
    x = 164,852,776,556.19/462,326.66
  6. Step 6: Final answer
    x = 356,572.08

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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.