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Finding the Fourth Proportional to 531,854.96, 797,776.32 and 152,784.98

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Solution

The fourth proportional to 531,854.96, 797,776.32 and 152,784.98 is: 229,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,854.96 : 797,776.32 = 152,784.98 : x
  2. Step 2: Convert to fraction form
    531,854.96/797,776.32 = 152,784.98/x
  3. Step 3: Cross multiply
    531,854.96x = 797,776.32 × 152,784.98
  4. Step 4: Simplify right side
    531,854.96x = 121,888,239,095.67
  5. Step 5: Solve for x
    x = 121,888,239,095.67/531,854.96
  6. Step 6: Final answer
    x = 229,175.71

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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.