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Finding the Fourth Proportional to 346,464.69, 519,653.84 and 97,166.13

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Solution

The fourth proportional to 346,464.69, 519,653.84 and 97,166.13 is: 145,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,464.69 : 519,653.84 = 97,166.13 : x
  2. Step 2: Convert to fraction form
    346,464.69/519,653.84 = 97,166.13/x
  3. Step 3: Cross multiply
    346,464.69x = 519,653.84 × 97,166.13
  4. Step 4: Simplify right side
    346,464.69x = 50,492,752,086.61
  5. Step 5: Solve for x
    x = 50,492,752,086.61/346,464.69
  6. Step 6: Final answer
    x = 145,737.08

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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.