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Finding the Fourth Proportional to 511,417.32, 705,765.18 and 285,038.52

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Solution

The fourth proportional to 511,417.32, 705,765.18 and 285,038.52 is: 393,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,417.32 : 705,765.18 = 285,038.52 : x
  2. Step 2: Convert to fraction form
    511,417.32/705,765.18 = 285,038.52/x
  3. Step 3: Cross multiply
    511,417.32x = 705,765.18 × 285,038.52
  4. Step 4: Simplify right side
    511,417.32x = 201,170,262,374.73
  5. Step 5: Solve for x
    x = 201,170,262,374.73/511,417.32
  6. Step 6: Final answer
    x = 393,358.33

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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.