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Finding the Fourth Proportional to 506,816.15, 759,423.96 and 411,582.93

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Solution

The fourth proportional to 506,816.15, 759,423.96 and 411,582.93 is: 616,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,816.15 : 759,423.96 = 411,582.93 : x
  2. Step 2: Convert to fraction form
    506,816.15/759,423.96 = 411,582.93/x
  3. Step 3: Cross multiply
    506,816.15x = 759,423.96 × 411,582.93
  4. Step 4: Simplify right side
    506,816.15x = 312,565,938,569.00
  5. Step 5: Solve for x
    x = 312,565,938,569.00/506,816.15
  6. Step 6: Final answer
    x = 616,724.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.