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Finding the Fourth Proportional to 556,281.96, 833,343.28 and 409,956.13

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Solution

The fourth proportional to 556,281.96, 833,343.28 and 409,956.13 is: 614,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,281.96 : 833,343.28 = 409,956.13 : x
  2. Step 2: Convert to fraction form
    556,281.96/833,343.28 = 409,956.13/x
  3. Step 3: Cross multiply
    556,281.96x = 833,343.28 × 409,956.13
  4. Step 4: Simplify right side
    556,281.96x = 341,634,179,813.81
  5. Step 5: Solve for x
    x = 341,634,179,813.81/556,281.96
  6. Step 6: Final answer
    x = 614,138.52

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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.