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Finding the Fourth Proportional to 506,824.32, 760,261.77 and 151,804.52

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Solution

The fourth proportional to 506,824.32, 760,261.77 and 151,804.52 is: 227,714.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,824.32 : 760,261.77 = 151,804.52 : x
  2. Step 2: Convert to fraction form
    506,824.32/760,261.77 = 151,804.52/x
  3. Step 3: Cross multiply
    506,824.32x = 760,261.77 × 151,804.52
  4. Step 4: Simplify right side
    506,824.32x = 115,411,169,267.89
  5. Step 5: Solve for x
    x = 115,411,169,267.89/506,824.32
  6. Step 6: Final answer
    x = 227,714.35

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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.