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Finding the Fourth Proportional to 513,030.16, 707,968.04 and 286,677.52

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Solution

The fourth proportional to 513,030.16, 707,968.04 and 286,677.52 is: 395,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,030.16 : 707,968.04 = 286,677.52 : x
  2. Step 2: Convert to fraction form
    513,030.16/707,968.04 = 286,677.52/x
  3. Step 3: Cross multiply
    513,030.16x = 707,968.04 × 286,677.52
  4. Step 4: Simplify right side
    513,030.16x = 202,958,521,946.46
  5. Step 5: Solve for x
    x = 202,958,521,946.46/513,030.16
  6. Step 6: Final answer
    x = 395,607.39

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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.