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Finding the Fourth Proportional to 413,656.04, 570,533.22 and 279,471.08

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Solution

The fourth proportional to 413,656.04, 570,533.22 and 279,471.08 is: 385,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,656.04 : 570,533.22 = 279,471.08 : x
  2. Step 2: Convert to fraction form
    413,656.04/570,533.22 = 279,471.08/x
  3. Step 3: Cross multiply
    413,656.04x = 570,533.22 × 279,471.08
  4. Step 4: Simplify right side
    413,656.04x = 159,447,535,169.28
  5. Step 5: Solve for x
    x = 159,447,535,169.28/413,656.04
  6. Step 6: Final answer
    x = 385,459.22

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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.