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Finding the Fourth Proportional to 411,358.84, 567,673.56 and 230,070.04

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Solution

The fourth proportional to 411,358.84, 567,673.56 and 230,070.04 is: 317,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,358.84 : 567,673.56 = 230,070.04 : x
  2. Step 2: Convert to fraction form
    411,358.84/567,673.56 = 230,070.04/x
  3. Step 3: Cross multiply
    411,358.84x = 567,673.56 × 230,070.04
  4. Step 4: Simplify right side
    411,358.84x = 130,604,678,656.14
  5. Step 5: Solve for x
    x = 130,604,678,656.14/411,358.84
  6. Step 6: Final answer
    x = 317,495.74

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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.