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Finding the Fourth Proportional to 478,971.40, 660,985.14 and 264,119.08

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Solution

The fourth proportional to 478,971.40, 660,985.14 and 264,119.08 is: 364,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,971.40 : 660,985.14 = 264,119.08 : x
  2. Step 2: Convert to fraction form
    478,971.40/660,985.14 = 264,119.08/x
  3. Step 3: Cross multiply
    478,971.40x = 660,985.14 × 264,119.08
  4. Step 4: Simplify right side
    478,971.40x = 174,578,787,070.47
  5. Step 5: Solve for x
    x = 174,578,787,070.47/478,971.40
  6. Step 6: Final answer
    x = 364,486.87

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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.