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Finding the Fourth Proportional to 708,358.16, 977,908.05 and 569,027.22

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Solution

The fourth proportional to 708,358.16, 977,908.05 and 569,027.22 is: 785,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,358.16 : 977,908.05 = 569,027.22 : x
  2. Step 2: Convert to fraction form
    708,358.16/977,908.05 = 569,027.22/x
  3. Step 3: Cross multiply
    708,358.16x = 977,908.05 × 569,027.22
  4. Step 4: Simplify right side
    708,358.16x = 556,456,299,107.12
  5. Step 5: Solve for x
    x = 556,456,299,107.12/708,358.16
  6. Step 6: Final answer
    x = 785,557.84

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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.