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Finding the Fourth Proportional to 953,253, 1,429,878.34 and 243,281.11

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Solution

The fourth proportional to 953,253, 1,429,878.34 and 243,281.11 is: 364,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,253 : 1,429,878.34 = 243,281.11 : x
  2. Step 2: Convert to fraction form
    953,253/1,429,878.34 = 243,281.11/x
  3. Step 3: Cross multiply
    953,253x = 1,429,878.34 × 243,281.11
  4. Step 4: Simplify right side
    953,253x = 347,862,389,720.16
  5. Step 5: Solve for x
    x = 347,862,389,720.16/953,253
  6. Step 6: Final answer
    x = 364,921.37

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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.