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Finding the Fourth Proportional to 456,405.65, 630,484.04 and 415,501.46

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Solution

The fourth proportional to 456,405.65, 630,484.04 and 415,501.46 is: 573,978.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,405.65 : 630,484.04 = 415,501.46 : x
  2. Step 2: Convert to fraction form
    456,405.65/630,484.04 = 415,501.46/x
  3. Step 3: Cross multiply
    456,405.65x = 630,484.04 × 415,501.46
  4. Step 4: Simplify right side
    456,405.65x = 261,967,033,896.77
  5. Step 5: Solve for x
    x = 261,967,033,896.77/456,405.65
  6. Step 6: Final answer
    x = 573,978.51

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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.