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Finding the Fourth Proportional to 704,150.94, 971,711.18 and 402,325.50

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Solution

The fourth proportional to 704,150.94, 971,711.18 and 402,325.50 is: 555,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,150.94 : 971,711.18 = 402,325.50 : x
  2. Step 2: Convert to fraction form
    704,150.94/971,711.18 = 402,325.50/x
  3. Step 3: Cross multiply
    704,150.94x = 971,711.18 × 402,325.50
  4. Step 4: Simplify right side
    704,150.94x = 390,944,186,349.09
  5. Step 5: Solve for x
    x = 390,944,186,349.09/704,150.94
  6. Step 6: Final answer
    x = 555,199.41

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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.