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Finding the Fourth Proportional to 595,089.52, 821,784.02 and 414,295.81

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Solution

The fourth proportional to 595,089.52, 821,784.02 and 414,295.81 is: 572,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,089.52 : 821,784.02 = 414,295.81 : x
  2. Step 2: Convert to fraction form
    595,089.52/821,784.02 = 414,295.81/x
  3. Step 3: Cross multiply
    595,089.52x = 821,784.02 × 414,295.81
  4. Step 4: Simplify right side
    595,089.52x = 340,461,676,210.96
  5. Step 5: Solve for x
    x = 340,461,676,210.96/595,089.52
  6. Step 6: Final answer
    x = 572,118.42

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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.