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Finding the Fourth Proportional to 304,814.63, 455,368.02 and 197,322.89

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Solution

The fourth proportional to 304,814.63, 455,368.02 and 197,322.89 is: 294,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,814.63 : 455,368.02 = 197,322.89 : x
  2. Step 2: Convert to fraction form
    304,814.63/455,368.02 = 197,322.89/x
  3. Step 3: Cross multiply
    304,814.63x = 455,368.02 × 197,322.89
  4. Step 4: Simplify right side
    304,814.63x = 89,854,533,719.98
  5. Step 5: Solve for x
    x = 89,854,533,719.98/304,814.63
  6. Step 6: Final answer
    x = 294,784.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.