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Finding the Fourth Proportional to 357,361.02, 492,829.08 and 242,811.16

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Solution

The fourth proportional to 357,361.02, 492,829.08 and 242,811.16 is: 334,855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,361.02 : 492,829.08 = 242,811.16 : x
  2. Step 2: Convert to fraction form
    357,361.02/492,829.08 = 242,811.16/x
  3. Step 3: Cross multiply
    357,361.02x = 492,829.08 × 242,811.16
  4. Step 4: Simplify right side
    357,361.02x = 119,664,400,596.53
  5. Step 5: Solve for x
    x = 119,664,400,596.53/357,361.02
  6. Step 6: Final answer
    x = 334,855.77

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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.