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Finding the Fourth Proportional to 567,419.16, 783,038.25 and 312,774.60

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Solution

The fourth proportional to 567,419.16, 783,038.25 and 312,774.60 is: 431,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,419.16 : 783,038.25 = 312,774.60 : x
  2. Step 2: Convert to fraction form
    567,419.16/783,038.25 = 312,774.60/x
  3. Step 3: Cross multiply
    567,419.16x = 783,038.25 × 312,774.60
  4. Step 4: Simplify right side
    567,419.16x = 244,914,475,428.45
  5. Step 5: Solve for x
    x = 244,914,475,428.45/567,419.16
  6. Step 6: Final answer
    x = 431,628.84

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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.