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Finding the Fourth Proportional to 600,547.46, 829,055.40 and 345,849.44

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Solution

The fourth proportional to 600,547.46, 829,055.40 and 345,849.44 is: 477,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,547.46 : 829,055.40 = 345,849.44 : x
  2. Step 2: Convert to fraction form
    600,547.46/829,055.40 = 345,849.44/x
  3. Step 3: Cross multiply
    600,547.46x = 829,055.40 × 345,849.44
  4. Step 4: Simplify right side
    600,547.46x = 286,728,345,818.98
  5. Step 5: Solve for x
    x = 286,728,345,818.98/600,547.46
  6. Step 6: Final answer
    x = 477,444.94

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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.