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Finding the Fourth Proportional to 464,038.92, 696,048.66 and 148,496.13

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Solution

The fourth proportional to 464,038.92, 696,048.66 and 148,496.13 is: 222,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,038.92 : 696,048.66 = 148,496.13 : x
  2. Step 2: Convert to fraction form
    464,038.92/696,048.66 = 148,496.13/x
  3. Step 3: Cross multiply
    464,038.92x = 696,048.66 × 148,496.13
  4. Step 4: Simplify right side
    464,038.92x = 103,360,532,301.69
  5. Step 5: Solve for x
    x = 103,360,532,301.69/464,038.92
  6. Step 6: Final answer
    x = 222,741.08

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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.