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Finding the Fourth Proportional to 277,438.61, 416,176.36 and 97,502.27

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Solution

The fourth proportional to 277,438.61, 416,176.36 and 97,502.27 is: 146,259.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,438.61 : 416,176.36 = 97,502.27 : x
  2. Step 2: Convert to fraction form
    277,438.61/416,176.36 = 97,502.27/x
  3. Step 3: Cross multiply
    277,438.61x = 416,176.36 × 97,502.27
  4. Step 4: Simplify right side
    277,438.61x = 40,578,139,820.34
  5. Step 5: Solve for x
    x = 40,578,139,820.34/277,438.61
  6. Step 6: Final answer
    x = 146,259.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.