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Finding the Fourth Proportional to 282,967, 390,549.92 and 162,189.24

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Solution

The fourth proportional to 282,967, 390,549.92 and 162,189.24 is: 223,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967 : 390,549.92 = 162,189.24 : x
  2. Step 2: Convert to fraction form
    282,967/390,549.92 = 162,189.24/x
  3. Step 3: Cross multiply
    282,967x = 390,549.92 × 162,189.24
  4. Step 4: Simplify right side
    282,967x = 63,342,994,706.86
  5. Step 5: Solve for x
    x = 63,342,994,706.86/282,967
  6. Step 6: Final answer
    x = 223,852.94

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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.