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Finding the Fourth Proportional to 825,695.53, 1,139,368.72 and 463,044.76

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Solution

The fourth proportional to 825,695.53, 1,139,368.72 and 463,044.76 is: 638,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,695.53 : 1,139,368.72 = 463,044.76 : x
  2. Step 2: Convert to fraction form
    825,695.53/1,139,368.72 = 463,044.76/x
  3. Step 3: Cross multiply
    825,695.53x = 1,139,368.72 × 463,044.76
  4. Step 4: Simplify right side
    825,695.53x = 527,578,715,503.91
  5. Step 5: Solve for x
    x = 527,578,715,503.91/825,695.53
  6. Step 6: Final answer
    x = 638,950.67

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Why These Related Problems?

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