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Finding the Fourth Proportional to 512,595.34, 707,403.05 and 294,804.17

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Solution

The fourth proportional to 512,595.34, 707,403.05 and 294,804.17 is: 406,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,595.34 : 707,403.05 = 294,804.17 : x
  2. Step 2: Convert to fraction form
    512,595.34/707,403.05 = 294,804.17/x
  3. Step 3: Cross multiply
    512,595.34x = 707,403.05 × 294,804.17
  4. Step 4: Simplify right side
    512,595.34x = 208,545,363,999.68
  5. Step 5: Solve for x
    x = 208,545,363,999.68/512,595.34
  6. Step 6: Final answer
    x = 406,842.10

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1.5x scale

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.