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Finding the Fourth Proportional to 301,918.83, 452,875.02 and 77,277.48

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Solution

The fourth proportional to 301,918.83, 452,875.02 and 77,277.48 is: 115,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,918.83 : 452,875.02 = 77,277.48 : x
  2. Step 2: Convert to fraction form
    301,918.83/452,875.02 = 77,277.48/x
  3. Step 3: Cross multiply
    301,918.83x = 452,875.02 × 77,277.48
  4. Step 4: Simplify right side
    301,918.83x = 34,997,038,312.48
  5. Step 5: Solve for x
    x = 34,997,038,312.48/301,918.83
  6. Step 6: Final answer
    x = 115,915.39

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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.