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Finding the Fourth Proportional to 525,830.40, 786,931.20 and 315,619.20

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Solution

The fourth proportional to 525,830.40, 786,931.20 and 315,619.20 is: 472,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,830.40 : 786,931.20 = 315,619.20 : x
  2. Step 2: Convert to fraction form
    525,830.40/786,931.20 = 315,619.20/x
  3. Step 3: Cross multiply
    525,830.40x = 786,931.20 × 315,619.20
  4. Step 4: Simplify right side
    525,830.40x = 248,370,595,799.04
  5. Step 5: Solve for x
    x = 248,370,595,799.04/525,830.40
  6. Step 6: Final answer
    x = 472,339.74

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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.