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Finding the Fourth Proportional to 509,487.54, 703,036.98 and 294,595.08

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Solution

The fourth proportional to 509,487.54, 703,036.98 and 294,595.08 is: 406,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,487.54 : 703,036.98 = 294,595.08 : x
  2. Step 2: Convert to fraction form
    509,487.54/703,036.98 = 294,595.08/x
  3. Step 3: Cross multiply
    509,487.54x = 703,036.98 × 294,595.08
  4. Step 4: Simplify right side
    509,487.54x = 207,111,235,366.06
  5. Step 5: Solve for x
    x = 207,111,235,366.06/509,487.54
  6. Step 6: Final answer
    x = 406,508.93

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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.