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Finding the Fourth Proportional to 506,062.38, 697,800.98 and 413,894.70

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Solution

The fourth proportional to 506,062.38, 697,800.98 and 413,894.70 is: 570,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,062.38 : 697,800.98 = 413,894.70 : x
  2. Step 2: Convert to fraction form
    506,062.38/697,800.98 = 413,894.70/x
  3. Step 3: Cross multiply
    506,062.38x = 697,800.98 × 413,894.70
  4. Step 4: Simplify right side
    506,062.38x = 288,816,127,276.81
  5. Step 5: Solve for x
    x = 288,816,127,276.81/506,062.38
  6. Step 6: Final answer
    x = 570,712.50

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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.