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Finding the Fourth Proportional to 291,421.67, 402,051.35 and 176,658.47

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Solution

The fourth proportional to 291,421.67, 402,051.35 and 176,658.47 is: 243,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,421.67 : 402,051.35 = 176,658.47 : x
  2. Step 2: Convert to fraction form
    291,421.67/402,051.35 = 176,658.47/x
  3. Step 3: Cross multiply
    291,421.67x = 402,051.35 × 176,658.47
  4. Step 4: Simplify right side
    291,421.67x = 71,025,773,458.89
  5. Step 5: Solve for x
    x = 71,025,773,458.89/291,421.67
  6. Step 6: Final answer
    x = 243,721.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.