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Finding the Fourth Proportional to 261,497.40, 392,051.70 and 143,302.20

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Solution

The fourth proportional to 261,497.40, 392,051.70 and 143,302.20 is: 214,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,497.40 : 392,051.70 = 143,302.20 : x
  2. Step 2: Convert to fraction form
    261,497.40/392,051.70 = 143,302.20/x
  3. Step 3: Cross multiply
    261,497.40x = 392,051.70 × 143,302.20
  4. Step 4: Simplify right side
    261,497.40x = 56,181,871,123.74
  5. Step 5: Solve for x
    x = 56,181,871,123.74/261,497.40
  6. Step 6: Final answer
    x = 214,846.77

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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.