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Finding the Fourth Proportional to 459,116.40, 688,674.60 and 410,127.60

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Solution

The fourth proportional to 459,116.40, 688,674.60 and 410,127.60 is: 615,191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,116.40 : 688,674.60 = 410,127.60 : x
  2. Step 2: Convert to fraction form
    459,116.40/688,674.60 = 410,127.60/x
  3. Step 3: Cross multiply
    459,116.40x = 688,674.60 × 410,127.60
  4. Step 4: Simplify right side
    459,116.40x = 282,444,460,878.96
  5. Step 5: Solve for x
    x = 282,444,460,878.96/459,116.40
  6. Step 6: Final answer
    x = 615,191.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.