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Finding the Fourth Proportional to 505,870.74, 758,925.32 and 164,312.64

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Solution

The fourth proportional to 505,870.74, 758,925.32 and 164,312.64 is: 246,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,870.74 : 758,925.32 = 164,312.64 : x
  2. Step 2: Convert to fraction form
    505,870.74/758,925.32 = 164,312.64/x
  3. Step 3: Cross multiply
    505,870.74x = 758,925.32 × 164,312.64
  4. Step 4: Simplify right side
    505,870.74x = 124,701,022,070.48
  5. Step 5: Solve for x
    x = 124,701,022,070.48/505,870.74
  6. Step 6: Final answer
    x = 246,507.68

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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.