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Finding the Fourth Proportional to 301,533, 452,506.88 and 104,541

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Solution

The fourth proportional to 301,533, 452,506.88 and 104,541 is: 156,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,533 : 452,506.88 = 104,541 : x
  2. Step 2: Convert to fraction form
    301,533/452,506.88 = 104,541/x
  3. Step 3: Cross multiply
    301,533x = 452,506.88 × 104,541
  4. Step 4: Simplify right side
    301,533x = 47,305,521,742.08
  5. Step 5: Solve for x
    x = 47,305,521,742.08/301,533
  6. Step 6: Final answer
    x = 156,883.40

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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.