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Finding the Fourth Proportional to 475,370.56, 656,016.53 and 260,506

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Solution

The fourth proportional to 475,370.56, 656,016.53 and 260,506 is: 359,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,370.56 : 656,016.53 = 260,506 : x
  2. Step 2: Convert to fraction form
    475,370.56/656,016.53 = 260,506/x
  3. Step 3: Cross multiply
    475,370.56x = 656,016.53 × 260,506
  4. Step 4: Simplify right side
    475,370.56x = 170,896,242,164.18
  5. Step 5: Solve for x
    x = 170,896,242,164.18/475,370.56
  6. Step 6: Final answer
    x = 359,501.11

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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.