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Finding the Fourth Proportional to 417,802.25, 576,567.51 and 226,815.59

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Solution

The fourth proportional to 417,802.25, 576,567.51 and 226,815.59 is: 313,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,802.25 : 576,567.51 = 226,815.59 : x
  2. Step 2: Convert to fraction form
    417,802.25/576,567.51 = 226,815.59/x
  3. Step 3: Cross multiply
    417,802.25x = 576,567.51 × 226,815.59
  4. Step 4: Simplify right side
    417,802.25x = 130,774,499,955.48
  5. Step 5: Solve for x
    x = 130,774,499,955.48/417,802.25
  6. Step 6: Final answer
    x = 313,005.73

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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.