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Finding the Fourth Proportional to 476,533.92, 714,590.94 and 223,886.22

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Solution

The fourth proportional to 476,533.92, 714,590.94 and 223,886.22 is: 335,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,533.92 : 714,590.94 = 223,886.22 : x
  2. Step 2: Convert to fraction form
    476,533.92/714,590.94 = 223,886.22/x
  3. Step 3: Cross multiply
    476,533.92x = 714,590.94 × 223,886.22
  4. Step 4: Simplify right side
    476,533.92x = 159,987,064,402.85
  5. Step 5: Solve for x
    x = 159,987,064,402.85/476,533.92
  6. Step 6: Final answer
    x = 335,730.70

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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.