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Finding the Fourth Proportional to 586,705.76, 880,051.20 and 187,341.50

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Solution

The fourth proportional to 586,705.76, 880,051.20 and 187,341.50 is: 281,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,705.76 : 880,051.20 = 187,341.50 : x
  2. Step 2: Convert to fraction form
    586,705.76/880,051.20 = 187,341.50/x
  3. Step 3: Cross multiply
    586,705.76x = 880,051.20 × 187,341.50
  4. Step 4: Simplify right side
    586,705.76x = 164,870,111,884.80
  5. Step 5: Solve for x
    x = 164,870,111,884.80/586,705.76
  6. Step 6: Final answer
    x = 281,009.87

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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.