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Finding the Fourth Proportional to 314,184, 433,570.56 and 186,856.80

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Solution

The fourth proportional to 314,184, 433,570.56 and 186,856.80 is: 257,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,184 : 433,570.56 = 186,856.80 : x
  2. Step 2: Convert to fraction form
    314,184/433,570.56 = 186,856.80/x
  3. Step 3: Cross multiply
    314,184x = 433,570.56 × 186,856.80
  4. Step 4: Simplify right side
    314,184x = 81,015,607,415.81
  5. Step 5: Solve for x
    x = 81,015,607,415.81/314,184
  6. Step 6: Final answer
    x = 257,860.39

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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.