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Finding the Fourth Proportional to 410,409.12, 566,208.72 and 249,203.04

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Solution

The fourth proportional to 410,409.12, 566,208.72 and 249,203.04 is: 343,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,409.12 : 566,208.72 = 249,203.04 : x
  2. Step 2: Convert to fraction form
    410,409.12/566,208.72 = 249,203.04/x
  3. Step 3: Cross multiply
    410,409.12x = 566,208.72 × 249,203.04
  4. Step 4: Simplify right side
    410,409.12x = 141,100,934,298.51
  5. Step 5: Solve for x
    x = 141,100,934,298.51/410,409.12
  6. Step 6: Final answer
    x = 343,805.55

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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.