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Finding the Fourth Proportional to 473,070.86, 709,919.70 and 259,987.58

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Solution

The fourth proportional to 473,070.86, 709,919.70 and 259,987.58 is: 390,153.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,070.86 : 709,919.70 = 259,987.58 : x
  2. Step 2: Convert to fraction form
    473,070.86/709,919.70 = 259,987.58/x
  3. Step 3: Cross multiply
    473,070.86x = 709,919.70 × 259,987.58
  4. Step 4: Simplify right side
    473,070.86x = 184,570,303,497.39
  5. Step 5: Solve for x
    x = 184,570,303,497.39/473,070.86
  6. Step 6: Final answer
    x = 390,153.61

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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.