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Finding the Fourth Proportional to 535,875, 803,571.66 and 385,485

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Solution

The fourth proportional to 535,875, 803,571.66 and 385,485 is: 578,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,875 : 803,571.66 = 385,485 : x
  2. Step 2: Convert to fraction form
    535,875/803,571.66 = 385,485/x
  3. Step 3: Cross multiply
    535,875x = 803,571.66 × 385,485
  4. Step 4: Simplify right side
    535,875x = 309,764,821,355.10
  5. Step 5: Solve for x
    x = 309,764,821,355.10/535,875
  6. Step 6: Final answer
    x = 578,054.25

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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.