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Finding the Fourth Proportional to 413,648.48, 570,746.32 and 241,488.24

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Solution

The fourth proportional to 413,648.48, 570,746.32 and 241,488.24 is: 333,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,648.48 : 570,746.32 = 241,488.24 : x
  2. Step 2: Convert to fraction form
    413,648.48/570,746.32 = 241,488.24/x
  3. Step 3: Cross multiply
    413,648.48x = 570,746.32 × 241,488.24
  4. Step 4: Simplify right side
    413,648.48x = 137,828,524,303.28
  5. Step 5: Solve for x
    x = 137,828,524,303.28/413,648.48
  6. Step 6: Final answer
    x = 333,202.06

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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.