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Finding the Fourth Proportional to 556,298.16, 834,078.54 and 201,265.98

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Solution

The fourth proportional to 556,298.16, 834,078.54 and 201,265.98 is: 301,765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,298.16 : 834,078.54 = 201,265.98 : x
  2. Step 2: Convert to fraction form
    556,298.16/834,078.54 = 201,265.98/x
  3. Step 3: Cross multiply
    556,298.16x = 834,078.54 × 201,265.98
  4. Step 4: Simplify right side
    556,298.16x = 167,871,634,750.07
  5. Step 5: Solve for x
    x = 167,871,634,750.07/556,298.16
  6. Step 6: Final answer
    x = 301,765.58

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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.