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Finding the Fourth Proportional to 657,520.32, 986,269.74 and 208,240.50

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Solution

The fourth proportional to 657,520.32, 986,269.74 and 208,240.50 is: 312,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,520.32 : 986,269.74 = 208,240.50 : x
  2. Step 2: Convert to fraction form
    657,520.32/986,269.74 = 208,240.50/x
  3. Step 3: Cross multiply
    657,520.32x = 986,269.74 × 208,240.50
  4. Step 4: Simplify right side
    657,520.32x = 205,381,303,792.47
  5. Step 5: Solve for x
    x = 205,381,303,792.47/657,520.32
  6. Step 6: Final answer
    x = 312,357.35

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