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Finding the Fourth Proportional to 563,430.42, 777,188.52 and 460,214.60

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Solution

The fourth proportional to 563,430.42, 777,188.52 and 460,214.60 is: 634,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,430.42 : 777,188.52 = 460,214.60 : x
  2. Step 2: Convert to fraction form
    563,430.42/777,188.52 = 460,214.60/x
  3. Step 3: Cross multiply
    563,430.42x = 777,188.52 × 460,214.60
  4. Step 4: Simplify right side
    563,430.42x = 357,673,499,970.45
  5. Step 5: Solve for x
    x = 357,673,499,970.45/563,430.42
  6. Step 6: Final answer
    x = 634,813.97

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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.