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Finding the Fourth Proportional to 280,290, 386,808.40 and 152,973.76

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Solution

The fourth proportional to 280,290, 386,808.40 and 152,973.76 is: 211,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,290 : 386,808.40 = 152,973.76 : x
  2. Step 2: Convert to fraction form
    280,290/386,808.40 = 152,973.76/x
  3. Step 3: Cross multiply
    280,290x = 386,808.40 × 152,973.76
  4. Step 4: Simplify right side
    280,290x = 59,171,535,347.58
  5. Step 5: Solve for x
    x = 59,171,535,347.58/280,290
  6. Step 6: Final answer
    x = 211,108.26

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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.