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Finding the Fourth Proportional to 719,312.56, 992,675.94 and 413,445.76

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Solution

The fourth proportional to 719,312.56, 992,675.94 and 413,445.76 is: 570,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,312.56 : 992,675.94 = 413,445.76 : x
  2. Step 2: Convert to fraction form
    719,312.56/992,675.94 = 413,445.76/x
  3. Step 3: Cross multiply
    719,312.56x = 992,675.94 × 413,445.76
  4. Step 4: Simplify right side
    719,312.56x = 410,417,658,447.01
  5. Step 5: Solve for x
    x = 410,417,658,447.01/719,312.56
  6. Step 6: Final answer
    x = 570,569.29

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Double scale
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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.