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Finding the Fourth Proportional to 553,696.30, 830,544.45 and 301,097.80

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Solution

The fourth proportional to 553,696.30, 830,544.45 and 301,097.80 is: 451,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,696.30 : 830,544.45 = 301,097.80 : x
  2. Step 2: Convert to fraction form
    553,696.30/830,544.45 = 301,097.80/x
  3. Step 3: Cross multiply
    553,696.30x = 830,544.45 × 301,097.80
  4. Step 4: Simplify right side
    553,696.30x = 250,075,106,697.21
  5. Step 5: Solve for x
    x = 250,075,106,697.21/553,696.30
  6. Step 6: Final answer
    x = 451,646.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.