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Finding the Fourth Proportional to 488,341.51, 732,762.34 and 232,463.66

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Solution

The fourth proportional to 488,341.51, 732,762.34 and 232,463.66 is: 348,814.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,341.51 : 732,762.34 = 232,463.66 : x
  2. Step 2: Convert to fraction form
    488,341.51/732,762.34 = 232,463.66/x
  3. Step 3: Cross multiply
    488,341.51x = 732,762.34 × 232,463.66
  4. Step 4: Simplify right side
    488,341.51x = 170,340,616,672.31
  5. Step 5: Solve for x
    x = 170,340,616,672.31/488,341.51
  6. Step 6: Final answer
    x = 348,814.54

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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.