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Finding the Fourth Proportional to 508,602.42, 700,271.01 and 431,956.98

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Solution

The fourth proportional to 508,602.42, 700,271.01 and 431,956.98 is: 594,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,602.42 : 700,271.01 = 431,956.98 : x
  2. Step 2: Convert to fraction form
    508,602.42/700,271.01 = 431,956.98/x
  3. Step 3: Cross multiply
    508,602.42x = 700,271.01 × 431,956.98
  4. Step 4: Simplify right side
    508,602.42x = 302,486,950,661.15
  5. Step 5: Solve for x
    x = 302,486,950,661.15/508,602.42
  6. Step 6: Final answer
    x = 594,741.47

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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.