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Finding the Fourth Proportional to 473,346.40, 710,019.60 and 286,722.40

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Solution

The fourth proportional to 473,346.40, 710,019.60 and 286,722.40 is: 430,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,346.40 : 710,019.60 = 286,722.40 : x
  2. Step 2: Convert to fraction form
    473,346.40/710,019.60 = 286,722.40/x
  3. Step 3: Cross multiply
    473,346.40x = 710,019.60 × 286,722.40
  4. Step 4: Simplify right side
    473,346.40x = 203,578,523,759.04
  5. Step 5: Solve for x
    x = 203,578,523,759.04/473,346.40
  6. Step 6: Final answer
    x = 430,083.60

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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.