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Finding the Fourth Proportional to 462,126.69, 637,764.76 and 258,178.71

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Solution

The fourth proportional to 462,126.69, 637,764.76 and 258,178.71 is: 356,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,126.69 : 637,764.76 = 258,178.71 : x
  2. Step 2: Convert to fraction form
    462,126.69/637,764.76 = 258,178.71/x
  3. Step 3: Cross multiply
    462,126.69x = 637,764.76 × 258,178.71
  4. Step 4: Simplify right side
    462,126.69x = 164,657,278,540.54
  5. Step 5: Solve for x
    x = 164,657,278,540.54/462,126.69
  6. Step 6: Final answer
    x = 356,303.33

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1.5x scale

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.