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Finding the Fourth Proportional to 476,473.86, 714,798.45 and 156,643.74

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Solution

The fourth proportional to 476,473.86, 714,798.45 and 156,643.74 is: 234,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,473.86 : 714,798.45 = 156,643.74 : x
  2. Step 2: Convert to fraction form
    476,473.86/714,798.45 = 156,643.74/x
  3. Step 3: Cross multiply
    476,473.86x = 714,798.45 × 156,643.74
  4. Step 4: Simplify right side
    476,473.86x = 111,968,702,554.20
  5. Step 5: Solve for x
    x = 111,968,702,554.20/476,473.86
  6. Step 6: Final answer
    x = 234,994.43

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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.