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Finding the Fourth Proportional to 384,210.40, 576,315.60 and 384,210.40

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Solution

The fourth proportional to 384,210.40, 576,315.60 and 384,210.40 is: 576,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,210.40 : 576,315.60 = 384,210.40 : x
  2. Step 2: Convert to fraction form
    384,210.40/576,315.60 = 384,210.40/x
  3. Step 3: Cross multiply
    384,210.40x = 576,315.60 × 384,210.40
  4. Step 4: Simplify right side
    384,210.40x = 221,426,447,202.24
  5. Step 5: Solve for x
    x = 221,426,447,202.24/384,210.40
  6. Step 6: Final answer
    x = 576,315.60

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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.