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Finding the Fourth Proportional to 712,322.64, 983,005 and 390,032.64

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Solution

The fourth proportional to 712,322.64, 983,005 and 390,032.64 is: 538,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,322.64 : 983,005 = 390,032.64 : x
  2. Step 2: Convert to fraction form
    712,322.64/983,005 = 390,032.64/x
  3. Step 3: Cross multiply
    712,322.64x = 983,005 × 390,032.64
  4. Step 4: Simplify right side
    712,322.64x = 383,404,035,283.20
  5. Step 5: Solve for x
    x = 383,404,035,283.20/712,322.64
  6. Step 6: Final answer
    x = 538,244.91

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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.