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Finding the Fourth Proportional to 832,304.47, 1,148,457.01 and 505,447.50

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Solution

The fourth proportional to 832,304.47, 1,148,457.01 and 505,447.50 is: 697,442.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,304.47 : 1,148,457.01 = 505,447.50 : x
  2. Step 2: Convert to fraction form
    832,304.47/1,148,457.01 = 505,447.50/x
  3. Step 3: Cross multiply
    832,304.47x = 1,148,457.01 × 505,447.50
  4. Step 4: Simplify right side
    832,304.47x = 580,484,724,561.98
  5. Step 5: Solve for x
    x = 580,484,724,561.98/832,304.47
  6. Step 6: Final answer
    x = 697,442.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.