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Finding the Fourth Proportional to 409,681.86, 614,522.80 and 129,220.98

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Solution

The fourth proportional to 409,681.86, 614,522.80 and 129,220.98 is: 193,831.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,681.86 : 614,522.80 = 129,220.98 : x
  2. Step 2: Convert to fraction form
    409,681.86/614,522.80 = 129,220.98/x
  3. Step 3: Cross multiply
    409,681.86x = 614,522.80 × 129,220.98
  4. Step 4: Simplify right side
    409,681.86x = 79,409,238,448.34
  5. Step 5: Solve for x
    x = 79,409,238,448.34/409,681.86
  6. Step 6: Final answer
    x = 193,831.47

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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.