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Finding the Fourth Proportional to 708,253.50, 977,389.83 and 390,301.50

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Solution

The fourth proportional to 708,253.50, 977,389.83 and 390,301.50 is: 538,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,253.50 : 977,389.83 = 390,301.50 : x
  2. Step 2: Convert to fraction form
    708,253.50/977,389.83 = 390,301.50/x
  3. Step 3: Cross multiply
    708,253.50x = 977,389.83 × 390,301.50
  4. Step 4: Simplify right side
    708,253.50x = 381,476,716,733.75
  5. Step 5: Solve for x
    x = 381,476,716,733.75/708,253.50
  6. Step 6: Final answer
    x = 538,616.07

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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.