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Finding the Fourth Proportional to 380,722.19, 570,681.41 and 127,762.83

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Solution

The fourth proportional to 380,722.19, 570,681.41 and 127,762.83 is: 191,509.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,722.19 : 570,681.41 = 127,762.83 : x
  2. Step 2: Convert to fraction form
    380,722.19/570,681.41 = 127,762.83/x
  3. Step 3: Cross multiply
    380,722.19x = 570,681.41 × 127,762.83
  4. Step 4: Simplify right side
    380,722.19x = 72,911,871,331.18
  5. Step 5: Solve for x
    x = 72,911,871,331.18/380,722.19
  6. Step 6: Final answer
    x = 191,509.38

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