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Finding the Fourth Proportional to 541,946, 812,746.70 and 506,565.72

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Solution

The fourth proportional to 541,946, 812,746.70 and 506,565.72 is: 759,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,946 : 812,746.70 = 506,565.72 : x
  2. Step 2: Convert to fraction form
    541,946/812,746.70 = 506,565.72/x
  3. Step 3: Cross multiply
    541,946x = 812,746.70 × 506,565.72
  4. Step 4: Simplify right side
    541,946x = 411,709,617,263.12
  5. Step 5: Solve for x
    x = 411,709,617,263.12/541,946
  6. Step 6: Final answer
    x = 759,687.53

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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.