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Finding the Fourth Proportional to 306,322.41, 458,543.10 and 277,454.01

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Solution

The fourth proportional to 306,322.41, 458,543.10 and 277,454.01 is: 415,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,322.41 : 458,543.10 = 277,454.01 : x
  2. Step 2: Convert to fraction form
    306,322.41/458,543.10 = 277,454.01/x
  3. Step 3: Cross multiply
    306,322.41x = 458,543.10 × 277,454.01
  4. Step 4: Simplify right side
    306,322.41x = 127,224,621,852.83
  5. Step 5: Solve for x
    x = 127,224,621,852.83/306,322.41
  6. Step 6: Final answer
    x = 415,329.14

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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.