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Finding the Fourth Proportional to 464,559.48, 696,368.61 and 314,814.92

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Solution

The fourth proportional to 464,559.48, 696,368.61 and 314,814.92 is: 471,903.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,559.48 : 696,368.61 = 314,814.92 : x
  2. Step 2: Convert to fraction form
    464,559.48/696,368.61 = 314,814.92/x
  3. Step 3: Cross multiply
    464,559.48x = 696,368.61 × 314,814.92
  4. Step 4: Simplify right side
    464,559.48x = 219,227,224,765.82
  5. Step 5: Solve for x
    x = 219,227,224,765.82/464,559.48
  6. Step 6: Final answer
    x = 471,903.46

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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.