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Finding the Fourth Proportional to 567,875.92, 783,655.04 and 313,221.64

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Solution

The fourth proportional to 567,875.92, 783,655.04 and 313,221.64 is: 432,238.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,875.92 : 783,655.04 = 313,221.64 : x
  2. Step 2: Convert to fraction form
    567,875.92/783,655.04 = 313,221.64/x
  3. Step 3: Cross multiply
    567,875.92x = 783,655.04 × 313,221.64
  4. Step 4: Simplify right side
    567,875.92x = 245,457,716,823.07
  5. Step 5: Solve for x
    x = 245,457,716,823.07/567,875.92
  6. Step 6: Final answer
    x = 432,238.29

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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.