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Finding the Fourth Proportional to 469,565.34, 704,041.80 and 309,155.73

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Solution

The fourth proportional to 469,565.34, 704,041.80 and 309,155.73 is: 463,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,565.34 : 704,041.80 = 309,155.73 : x
  2. Step 2: Convert to fraction form
    469,565.34/704,041.80 = 309,155.73/x
  3. Step 3: Cross multiply
    469,565.34x = 704,041.80 × 309,155.73
  4. Step 4: Simplify right side
    469,565.34x = 217,658,556,629.51
  5. Step 5: Solve for x
    x = 217,658,556,629.51/469,565.34
  6. Step 6: Final answer
    x = 463,531.99

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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.