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Finding the Fourth Proportional to 712,307.64, 982,984.32 and 390,017.64

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Solution

The fourth proportional to 712,307.64, 982,984.32 and 390,017.64 is: 538,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,307.64 : 982,984.32 = 390,017.64 : x
  2. Step 2: Convert to fraction form
    712,307.64/982,984.32 = 390,017.64/x
  3. Step 3: Cross multiply
    712,307.64x = 982,984.32 × 390,017.64
  4. Step 4: Simplify right side
    712,307.64x = 383,381,224,643.41
  5. Step 5: Solve for x
    x = 383,381,224,643.41/712,307.64
  6. Step 6: Final answer
    x = 538,224.22

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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.