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Finding the Fourth Proportional to 514,544.32, 710,159.04 and 299,811.64

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Solution

The fourth proportional to 514,544.32, 710,159.04 and 299,811.64 is: 413,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,544.32 : 710,159.04 = 299,811.64 : x
  2. Step 2: Convert to fraction form
    514,544.32/710,159.04 = 299,811.64/x
  3. Step 3: Cross multiply
    514,544.32x = 710,159.04 × 299,811.64
  4. Step 4: Simplify right side
    514,544.32x = 212,913,946,443.23
  5. Step 5: Solve for x
    x = 212,913,946,443.23/514,544.32
  6. Step 6: Final answer
    x = 413,791.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.