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Finding the Fourth Proportional to 492,657.84, 679,868.01 and 266,303.34

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Solution

The fourth proportional to 492,657.84, 679,868.01 and 266,303.34 is: 367,498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,657.84 : 679,868.01 = 266,303.34 : x
  2. Step 2: Convert to fraction form
    492,657.84/679,868.01 = 266,303.34/x
  3. Step 3: Cross multiply
    492,657.84x = 679,868.01 × 266,303.34
  4. Step 4: Simplify right side
    492,657.84x = 181,051,121,822.15
  5. Step 5: Solve for x
    x = 181,051,121,822.15/492,657.84
  6. Step 6: Final answer
    x = 367,498.71

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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.