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Finding the Fourth Proportional to 556,814.84, 768,404.96 and 302,166.02

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Solution

The fourth proportional to 556,814.84, 768,404.96 and 302,166.02 is: 416,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,814.84 : 768,404.96 = 302,166.02 : x
  2. Step 2: Convert to fraction form
    556,814.84/768,404.96 = 302,166.02/x
  3. Step 3: Cross multiply
    556,814.84x = 768,404.96 × 302,166.02
  4. Step 4: Simplify right side
    556,814.84x = 232,185,871,754.45
  5. Step 5: Solve for x
    x = 232,185,871,754.45/556,814.84
  6. Step 6: Final answer
    x = 416,989.38

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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.