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Finding the Fourth Proportional to 569,281.16, 785,560.74 and 314,632.36

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Solution

The fourth proportional to 569,281.16, 785,560.74 and 314,632.36 is: 434,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,281.16 : 785,560.74 = 314,632.36 : x
  2. Step 2: Convert to fraction form
    569,281.16/785,560.74 = 314,632.36/x
  3. Step 3: Cross multiply
    569,281.16x = 785,560.74 × 314,632.36
  4. Step 4: Simplify right side
    569,281.16x = 247,162,829,549.55
  5. Step 5: Solve for x
    x = 247,162,829,549.55/569,281.16
  6. Step 6: Final answer
    x = 434,166.54

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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.