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Finding the Fourth Proportional to 534,810.10, 802,215.15 and 456,078.10

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Solution

The fourth proportional to 534,810.10, 802,215.15 and 456,078.10 is: 684,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,810.10 : 802,215.15 = 456,078.10 : x
  2. Step 2: Convert to fraction form
    534,810.10/802,215.15 = 456,078.10/x
  3. Step 3: Cross multiply
    534,810.10x = 802,215.15 × 456,078.10
  4. Step 4: Simplify right side
    534,810.10x = 365,872,761,403.22
  5. Step 5: Solve for x
    x = 365,872,761,403.22/534,810.10
  6. Step 6: Final answer
    x = 684,117.15

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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.