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Finding the Fourth Proportional to 280,412.34, 386,958.12 and 153,088.98

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Solution

The fourth proportional to 280,412.34, 386,958.12 and 153,088.98 is: 211,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,412.34 : 386,958.12 = 153,088.98 : x
  2. Step 2: Convert to fraction form
    280,412.34/386,958.12 = 153,088.98/x
  3. Step 3: Cross multiply
    280,412.34x = 386,958.12 × 153,088.98
  4. Step 4: Simplify right side
    280,412.34x = 59,239,023,893.52
  5. Step 5: Solve for x
    x = 59,239,023,893.52/280,412.34
  6. Step 6: Final answer
    x = 211,256.84

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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.