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Finding the Fourth Proportional to 291,642, 402,465.96 and 157,506

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Solution

The fourth proportional to 291,642, 402,465.96 and 157,506 is: 217,358.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,642 : 402,465.96 = 157,506 : x
  2. Step 2: Convert to fraction form
    291,642/402,465.96 = 157,506/x
  3. Step 3: Cross multiply
    291,642x = 402,465.96 × 157,506
  4. Step 4: Simplify right side
    291,642x = 63,390,803,495.76
  5. Step 5: Solve for x
    x = 63,390,803,495.76/291,642
  6. Step 6: Final answer
    x = 217,358.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.