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Finding the Fourth Proportional to 580,210.56, 870,358 and 242,912

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Solution

The fourth proportional to 580,210.56, 870,358 and 242,912 is: 364,385.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,210.56 : 870,358 = 242,912 : x
  2. Step 2: Convert to fraction form
    580,210.56/870,358 = 242,912/x
  3. Step 3: Cross multiply
    580,210.56x = 870,358 × 242,912
  4. Step 4: Simplify right side
    580,210.56x = 211,420,402,496
  5. Step 5: Solve for x
    x = 211,420,402,496/580,210.56
  6. Step 6: Final answer
    x = 364,385.65

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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.