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Finding the Fourth Proportional to 459,364.16, 634,116.96 and 430,667.84

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Solution

The fourth proportional to 459,364.16, 634,116.96 and 430,667.84 is: 594,503.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,364.16 : 634,116.96 = 430,667.84 : x
  2. Step 2: Convert to fraction form
    459,364.16/634,116.96 = 430,667.84/x
  3. Step 3: Cross multiply
    459,364.16x = 634,116.96 × 430,667.84
  4. Step 4: Simplify right side
    459,364.16x = 273,093,781,470.57
  5. Step 5: Solve for x
    x = 273,093,781,470.57/459,364.16
  6. Step 6: Final answer
    x = 594,503.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.