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Finding the Fourth Proportional to 346,518.90, 519,830.67 and 146,840.10

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Solution

The fourth proportional to 346,518.90, 519,830.67 and 146,840.10 is: 220,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,518.90 : 519,830.67 = 146,840.10 : x
  2. Step 2: Convert to fraction form
    346,518.90/519,830.67 = 146,840.10/x
  3. Step 3: Cross multiply
    346,518.90x = 519,830.67 × 146,840.10
  4. Step 4: Simplify right side
    346,518.90x = 76,331,987,565.87
  5. Step 5: Solve for x
    x = 76,331,987,565.87/346,518.90
  6. Step 6: Final answer
    x = 220,282.32

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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.