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Finding the Fourth Proportional to 509,931.02, 703,674.86 and 295,055.84

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Solution

The fourth proportional to 509,931.02, 703,674.86 and 295,055.84 is: 407,159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,931.02 : 703,674.86 = 295,055.84 : x
  2. Step 2: Convert to fraction form
    509,931.02/703,674.86 = 295,055.84/x
  3. Step 3: Cross multiply
    509,931.02x = 703,674.86 × 295,055.84
  4. Step 4: Simplify right side
    509,931.02x = 207,623,376,904.18
  5. Step 5: Solve for x
    x = 207,623,376,904.18/509,931.02
  6. Step 6: Final answer
    x = 407,159.73

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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.