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Finding the Fourth Proportional to 282,412.37, 389,717.40 and 153,345.78

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Solution

The fourth proportional to 282,412.37, 389,717.40 and 153,345.78 is: 211,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,412.37 : 389,717.40 = 153,345.78 : x
  2. Step 2: Convert to fraction form
    282,412.37/389,717.40 = 153,345.78/x
  3. Step 3: Cross multiply
    282,412.37x = 389,717.40 × 153,345.78
  4. Step 4: Simplify right side
    282,412.37x = 59,761,518,682.57
  5. Step 5: Solve for x
    x = 59,761,518,682.57/282,412.37
  6. Step 6: Final answer
    x = 211,610.84

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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.