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Finding the Fourth Proportional to 413,242.74, 570,289.28 and 229,484.40

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Solution

The fourth proportional to 413,242.74, 570,289.28 and 229,484.40 is: 316,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,242.74 : 570,289.28 = 229,484.40 : x
  2. Step 2: Convert to fraction form
    413,242.74/570,289.28 = 229,484.40/x
  3. Step 3: Cross multiply
    413,242.74x = 570,289.28 × 229,484.40
  4. Step 4: Simplify right side
    413,242.74x = 130,872,492,099.81
  5. Step 5: Solve for x
    x = 130,872,492,099.81/413,242.74
  6. Step 6: Final answer
    x = 316,696.41

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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.