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Finding the Fourth Proportional to 438,133.60, 657,200.40 and 416,482.30

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Solution

The fourth proportional to 438,133.60, 657,200.40 and 416,482.30 is: 624,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,133.60 : 657,200.40 = 416,482.30 : x
  2. Step 2: Convert to fraction form
    438,133.60/657,200.40 = 416,482.30/x
  3. Step 3: Cross multiply
    438,133.60x = 657,200.40 × 416,482.30
  4. Step 4: Simplify right side
    438,133.60x = 273,712,334,152.92
  5. Step 5: Solve for x
    x = 273,712,334,152.92/438,133.60
  6. Step 6: Final answer
    x = 624,723.45

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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.