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Finding the Fourth Proportional to 446,414.08, 669,547.14 and 146,898.40

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Solution

The fourth proportional to 446,414.08, 669,547.14 and 146,898.40 is: 220,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,414.08 : 669,547.14 = 146,898.40 : x
  2. Step 2: Convert to fraction form
    446,414.08/669,547.14 = 146,898.40/x
  3. Step 3: Cross multiply
    446,414.08x = 669,547.14 × 146,898.40
  4. Step 4: Simplify right side
    446,414.08x = 98,355,403,590.58
  5. Step 5: Solve for x
    x = 98,355,403,590.58/446,414.08
  6. Step 6: Final answer
    x = 220,323.26

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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.