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Finding the Fourth Proportional to 589,875, 884,815.74 and 146,643

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Solution

The fourth proportional to 589,875, 884,815.74 and 146,643 is: 219,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,875 : 884,815.74 = 146,643 : x
  2. Step 2: Convert to fraction form
    589,875/884,815.74 = 146,643/x
  3. Step 3: Cross multiply
    589,875x = 884,815.74 × 146,643
  4. Step 4: Simplify right side
    589,875x = 129,752,034,560.82
  5. Step 5: Solve for x
    x = 129,752,034,560.82/589,875
  6. Step 6: Final answer
    x = 219,965.31

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1.5x scale

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.