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Finding the Fourth Proportional to 459,615.60, 689,423.40 and 310,316.40

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Solution

The fourth proportional to 459,615.60, 689,423.40 and 310,316.40 is: 465,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,615.60 : 689,423.40 = 310,316.40 : x
  2. Step 2: Convert to fraction form
    459,615.60/689,423.40 = 310,316.40/x
  3. Step 3: Cross multiply
    459,615.60x = 689,423.40 × 310,316.40
  4. Step 4: Simplify right side
    459,615.60x = 213,939,387,563.76
  5. Step 5: Solve for x
    x = 213,939,387,563.76/459,615.60
  6. Step 6: Final answer
    x = 465,474.60

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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.