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Finding the Fourth Proportional to 349,607.12, 524,411.16 and 149,798

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Solution

The fourth proportional to 349,607.12, 524,411.16 and 149,798 is: 224,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,607.12 : 524,411.16 = 149,798 : x
  2. Step 2: Convert to fraction form
    349,607.12/524,411.16 = 149,798/x
  3. Step 3: Cross multiply
    349,607.12x = 524,411.16 × 149,798
  4. Step 4: Simplify right side
    349,607.12x = 78,555,742,945.68
  5. Step 5: Solve for x
    x = 78,555,742,945.68/349,607.12
  6. Step 6: Final answer
    x = 224,697.21

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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.