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Finding the Fourth Proportional to 473,069.86, 709,918.20 and 259,986.58

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Solution

The fourth proportional to 473,069.86, 709,918.20 and 259,986.58 is: 390,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,069.86 : 709,918.20 = 259,986.58 : x
  2. Step 2: Convert to fraction form
    473,069.86/709,918.20 = 259,986.58/x
  3. Step 3: Cross multiply
    473,069.86x = 709,918.20 × 259,986.58
  4. Step 4: Simplify right side
    473,069.86x = 184,569,203,597.82
  5. Step 5: Solve for x
    x = 184,569,203,597.82/473,069.86
  6. Step 6: Final answer
    x = 390,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.