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Finding the Fourth Proportional to 569,482.08, 785,901.78 and 314,849.76

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Solution

The fourth proportional to 569,482.08, 785,901.78 and 314,849.76 is: 434,501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,482.08 : 785,901.78 = 314,849.76 : x
  2. Step 2: Convert to fraction form
    569,482.08/785,901.78 = 314,849.76/x
  3. Step 3: Cross multiply
    569,482.08x = 785,901.78 × 314,849.76
  4. Step 4: Simplify right side
    569,482.08x = 247,440,986,816.57
  5. Step 5: Solve for x
    x = 247,440,986,816.57/569,482.08
  6. Step 6: Final answer
    x = 434,501.80

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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.