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Finding the Fourth Proportional to 724,783.12, 999,851.88 and 470,214.16

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Solution

The fourth proportional to 724,783.12, 999,851.88 and 470,214.16 is: 648,669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,783.12 : 999,851.88 = 470,214.16 : x
  2. Step 2: Convert to fraction form
    724,783.12/999,851.88 = 470,214.16/x
  3. Step 3: Cross multiply
    724,783.12x = 999,851.88 × 470,214.16
  4. Step 4: Simplify right side
    724,783.12x = 470,144,511,878.62
  5. Step 5: Solve for x
    x = 470,144,511,878.62/724,783.12
  6. Step 6: Final answer
    x = 648,669.23

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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.