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Finding the Fourth Proportional to 560,852.64, 841,389.90 and 205,869.74

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Solution

The fourth proportional to 560,852.64, 841,389.90 and 205,869.74 is: 308,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,852.64 : 841,389.90 = 205,869.74 : x
  2. Step 2: Convert to fraction form
    560,852.64/841,389.90 = 205,869.74/x
  3. Step 3: Cross multiply
    560,852.64x = 841,389.90 × 205,869.74
  4. Step 4: Simplify right side
    560,852.64x = 173,216,715,744.68
  5. Step 5: Solve for x
    x = 173,216,715,744.68/560,852.64
  6. Step 6: Final answer
    x = 308,845.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.