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Finding the Fourth Proportional to 356,854.80, 534,828.60 and 146,254.80

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Solution

The fourth proportional to 356,854.80, 534,828.60 and 146,254.80 is: 219,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,854.80 : 534,828.60 = 146,254.80 : x
  2. Step 2: Convert to fraction form
    356,854.80/534,828.60 = 146,254.80/x
  3. Step 3: Cross multiply
    356,854.80x = 534,828.60 × 146,254.80
  4. Step 4: Simplify right side
    356,854.80x = 78,221,249,927.28
  5. Step 5: Solve for x
    x = 78,221,249,927.28/356,854.80
  6. Step 6: Final answer
    x = 219,196.29

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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.