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Finding the Fourth Proportional to 346,480, 519,720.02 and 83,824

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Solution

The fourth proportional to 346,480, 519,720.02 and 83,824 is: 125,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,480 : 519,720.02 = 83,824 : x
  2. Step 2: Convert to fraction form
    346,480/519,720.02 = 83,824/x
  3. Step 3: Cross multiply
    346,480x = 519,720.02 × 83,824
  4. Step 4: Simplify right side
    346,480x = 43,565,010,956.48
  5. Step 5: Solve for x
    x = 43,565,010,956.48/346,480
  6. Step 6: Final answer
    x = 125,736.00

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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.