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Finding the Fourth Proportional to 631,169.11, 947,223.89 and 463,123.67

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Solution

The fourth proportional to 631,169.11, 947,223.89 and 463,123.67 is: 695,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,169.11 : 947,223.89 = 463,123.67 : x
  2. Step 2: Convert to fraction form
    631,169.11/947,223.89 = 463,123.67/x
  3. Step 3: Cross multiply
    631,169.11x = 947,223.89 × 463,123.67
  4. Step 4: Simplify right side
    631,169.11x = 438,681,804,248.48
  5. Step 5: Solve for x
    x = 438,681,804,248.48/631,169.11
  6. Step 6: Final answer
    x = 695,030.54

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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.