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Finding the Fourth Proportional to 514,393.02, 710,048.70 and 418,733.64

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Solution

The fourth proportional to 514,393.02, 710,048.70 and 418,733.64 is: 578,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,393.02 : 710,048.70 = 418,733.64 : x
  2. Step 2: Convert to fraction form
    514,393.02/710,048.70 = 418,733.64/x
  3. Step 3: Cross multiply
    514,393.02x = 710,048.70 × 418,733.64
  4. Step 4: Simplify right side
    514,393.02x = 297,321,276,728.27
  5. Step 5: Solve for x
    x = 297,321,276,728.27/514,393.02
  6. Step 6: Final answer
    x = 578,004.10

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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.