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Finding the Fourth Proportional to 575,376, 863,032.68 and 176,016.77

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Solution

The fourth proportional to 575,376, 863,032.68 and 176,016.77 is: 264,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,376 : 863,032.68 = 176,016.77 : x
  2. Step 2: Convert to fraction form
    575,376/863,032.68 = 176,016.77/x
  3. Step 3: Cross multiply
    575,376x = 863,032.68 × 176,016.77
  4. Step 4: Simplify right side
    575,376x = 151,908,226,895.63
  5. Step 5: Solve for x
    x = 151,908,226,895.63/575,376
  6. Step 6: Final answer
    x = 264,015.58

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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.