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Finding the Fourth Proportional to 832,712, 1,249,102.56 and 241,736

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Solution

The fourth proportional to 832,712, 1,249,102.56 and 241,736 is: 362,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,712 : 1,249,102.56 = 241,736 : x
  2. Step 2: Convert to fraction form
    832,712/1,249,102.56 = 241,736/x
  3. Step 3: Cross multiply
    832,712x = 1,249,102.56 × 241,736
  4. Step 4: Simplify right side
    832,712x = 301,953,056,444.16
  5. Step 5: Solve for x
    x = 301,953,056,444.16/832,712
  6. Step 6: Final answer
    x = 362,614.03

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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.