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Finding the Fourth Proportional to 333,327.47, 459,557.64 and 212,424.65

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Solution

The fourth proportional to 333,327.47, 459,557.64 and 212,424.65 is: 292,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,327.47 : 459,557.64 = 212,424.65 : x
  2. Step 2: Convert to fraction form
    333,327.47/459,557.64 = 212,424.65/x
  3. Step 3: Cross multiply
    333,327.47x = 459,557.64 × 212,424.65
  4. Step 4: Simplify right side
    333,327.47x = 97,621,368,599.12
  5. Step 5: Solve for x
    x = 97,621,368,599.12/333,327.47
  6. Step 6: Final answer
    x = 292,869.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.