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Finding the Fourth Proportional to 505,158.62, 697,117.47 and 278,802.50

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Solution

The fourth proportional to 505,158.62, 697,117.47 and 278,802.50 is: 384,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,158.62 : 697,117.47 = 278,802.50 : x
  2. Step 2: Convert to fraction form
    505,158.62/697,117.47 = 278,802.50/x
  3. Step 3: Cross multiply
    505,158.62x = 697,117.47 × 278,802.50
  4. Step 4: Simplify right side
    505,158.62x = 194,358,093,429.68
  5. Step 5: Solve for x
    x = 194,358,093,429.68/505,158.62
  6. Step 6: Final answer
    x = 384,746.66

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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.