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Finding the Fourth Proportional to 571,520.80, 788,746.98 and 316,954

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Solution

The fourth proportional to 571,520.80, 788,746.98 and 316,954 is: 437,423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,520.80 : 788,746.98 = 316,954 : x
  2. Step 2: Convert to fraction form
    571,520.80/788,746.98 = 316,954/x
  3. Step 3: Cross multiply
    571,520.80x = 788,746.98 × 316,954
  4. Step 4: Simplify right side
    571,520.80x = 249,996,510,298.92
  5. Step 5: Solve for x
    x = 249,996,510,298.92/571,520.80
  6. Step 6: Final answer
    x = 437,423.29

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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.