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Finding the Fourth Proportional to 280,104.64, 386,544.32 and 152,780.16

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Solution

The fourth proportional to 280,104.64, 386,544.32 and 152,780.16 is: 210,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,104.64 : 386,544.32 = 152,780.16 : x
  2. Step 2: Convert to fraction form
    280,104.64/386,544.32 = 152,780.16/x
  3. Step 3: Cross multiply
    280,104.64x = 386,544.32 × 152,780.16
  4. Step 4: Simplify right side
    280,104.64x = 59,056,303,056.69
  5. Step 5: Solve for x
    x = 59,056,303,056.69/280,104.64
  6. Step 6: Final answer
    x = 210,836.58

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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.