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Finding the Fourth Proportional to 524,164.84, 786,242.94 and 150,188.20

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Solution

The fourth proportional to 524,164.84, 786,242.94 and 150,188.20 is: 225,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,164.84 : 786,242.94 = 150,188.20 : x
  2. Step 2: Convert to fraction form
    524,164.84/786,242.94 = 150,188.20/x
  3. Step 3: Cross multiply
    524,164.84x = 786,242.94 × 150,188.20
  4. Step 4: Simplify right side
    524,164.84x = 118,084,411,921.31
  5. Step 5: Solve for x
    x = 118,084,411,921.31/524,164.84
  6. Step 6: Final answer
    x = 225,281.06

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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.